diff --git a/src/click/formatting.py b/src/click/formatting.py
index de2ca4711..f5da95d52 100644
--- a/src/click/formatting.py
+++ b/src/click/formatting.py
@@ -161,14 +161,19 @@ def write_usage(self, prog: str, args: str = "", prefix: str | None = None) -> N
         if text_width >= (term_len(usage_prefix) + 20):
             # The arguments will fit to the right of the prefix.
             indent = " " * term_len(usage_prefix)
-            self.write(
-                wrap_text(
-                    args,
-                    text_width,
-                    initial_indent=usage_prefix,
-                    subsequent_indent=indent,
+            if args:
+                self.write(
+                    wrap_text(
+                        args,
+                        text_width,
+                        initial_indent=usage_prefix,
+                        subsequent_indent=indent,
+                    )
                 )
-            )
+            else:
+                # No args, but still need to write the "Usage: prog" prefix.
+                # rstrip removes the trailing space added when building usage_prefix.
+                self.write(usage_prefix.rstrip())
         else:
             # The prefix is too long, put the arguments on the next line.
             self.write(usage_prefix)
diff --git a/tests/test_formatting.py b/tests/test_formatting.py
index c74b53a3d..8e001f467 100644
--- a/tests/test_formatting.py
+++ b/tests/test_formatting.py
@@ -433,3 +433,11 @@ def test_help_formatter_write_text():
     actual = formatter.getvalue()
     expected = "  Lorem ipsum dolor sit amet,\n  consectetur adipiscing elit\n"
     assert actual == expected
+
+
+def test_write_usage_no_args():
+    """Regression test for issue #3360: write_usage with empty args
+    should still emit the 'Usage: prog' prefix, not an empty line."""
+    f = click.HelpFormatter()
+    f.write_usage("program")
+    assert f.getvalue() == "Usage: program\n"