34 Continental Congress Delegates signed the United States Constitution, per the U.S. House of Representatives' History, Art, and Archives
[Georgia ratified it on January 2, 1788, per GPO's Ben's Guide to U.S. Government
A total of 39 delegates signed the Constitution on September 17, 1787.
Not all the convention delegates approved the final product; 16 chose not to sign the Constitution in September 1787.
The five signatories who signed the Constitution but did not serve in the Continental Congress are Richard Bassett of Delaware, Jacob Broom of Delaware, John Blair of Virginia, Charles Cotesworth Pinckney of South Carolina, and David Brearley of New Jersey.