diff --git a/release-notes/VERSION-2.x b/release-notes/VERSION-2.x
index 211f1aa1ec..8cac1fe524 100644
--- a/release-notes/VERSION-2.x
+++ b/release-notes/VERSION-2.x
@@ -27,6 +27,8 @@ Project: jackson-databind
 #3708: Seems like `java.nio.file.Path` is safe for Android API level 26
  (contributed by @pjfanning)
 #3736: Try to avoid auto-detecting Fields for Record types
+#3742: schemaType of `LongSerializer` is wrong
+ (reported by @luozhenyu)
 
 2.14.2 (not yet released)
 
diff --git a/src/main/java/com/fasterxml/jackson/databind/ser/std/NumberSerializers.java b/src/main/java/com/fasterxml/jackson/databind/ser/std/NumberSerializers.java
index 52412b3a0b..f9c2c6bd15 100644
--- a/src/main/java/com/fasterxml/jackson/databind/ser/std/NumberSerializers.java
+++ b/src/main/java/com/fasterxml/jackson/databind/ser/std/NumberSerializers.java
@@ -121,7 +121,7 @@ public static class ShortSerializer extends Base<Object> {
         final static ShortSerializer instance = new ShortSerializer();
 
         public ShortSerializer() {
-            super(Short.class, JsonParser.NumberType.INT, "number");
+            super(Short.class, JsonParser.NumberType.INT, "integer");
         }
 
         @Override
@@ -186,7 +186,7 @@ public void serialize(Object value, JsonGenerator gen,
     @JacksonStdImpl
     public static class LongSerializer extends Base<Object> {
         public LongSerializer(Class<?> cls) {
-            super(cls, JsonParser.NumberType.LONG, "number");
+            super(cls, JsonParser.NumberType.LONG, "integer");
         }
 
         @Override
diff --git a/src/test/java/com/fasterxml/jackson/databind/jsonschema/TestGenerateJsonSchema.java b/src/test/java/com/fasterxml/jackson/databind/jsonschema/TestGenerateJsonSchema.java
index 30856e88e1..faacf0b2f2 100644
--- a/src/test/java/com/fasterxml/jackson/databind/jsonschema/TestGenerateJsonSchema.java
+++ b/src/test/java/com/fasterxml/jackson/databind/jsonschema/TestGenerateJsonSchema.java
@@ -34,7 +34,7 @@ public static class SimpleBean
         private Collection<Float> property4;
         @JsonProperty(required=true)
         private String property5;
-        
+
         public int getProperty1()
         {
             return property1;
@@ -80,10 +80,13 @@ public String getProperty5()
             return property5;
         }
 
-        public void setProperty5(String property5)
-        {
+        public void setProperty5(String property5) {
             this.property5 = property5;
         }
+
+        public long getProperty6() {
+            return 0L;
+        }
     }
 
     public class TrivialBean {
@@ -119,7 +122,7 @@ static class Numbers {
     /**********************************************************
      */
 
-    private final ObjectMapper MAPPER = new ObjectMapper();
+    private final ObjectMapper MAPPER = newJsonMapper();
     
     /**
      * tests generating json-schema stuff.
@@ -162,6 +165,16 @@ public void testOldSchemaGeneration() throws Exception
         assertEquals("array", property4Schema.get("type").asText());
         assertEquals(false, property4Schema.path("required").booleanValue());
         assertEquals("number", property4Schema.get("items").get("type").asText());
+
+        JsonNode property5Schema = propertiesSchema.get("property5");
+        assertNotNull(property5Schema);
+        assertEquals("string", property5Schema.get("type").asText());
+        assertEquals(true, property5Schema.path("required").booleanValue());
+
+        JsonNode property6Schema = propertiesSchema.get("property6");
+        assertNotNull(property6Schema);
+        assertEquals("integer", property6Schema.get("type").asText());
+        assertEquals(false, property6Schema.path("required").booleanValue());
     }
     
     @JsonFilter("filteredBean")