The evening also features Christoph Waltz and musical guest Meghan Trainor.
"The Tonight Show Starring Jimmy Fallon" airs in the New York metropolitan area on NBC, Channel 4, beginning at 11:35 PM ET; check local listings.
Other upcoming guests follow:
Nov. 9: Guests include Michael Keaton, Nick Offerman and musical guest Chris Janson.
Nov. 10: Guests include Daniel Radcliffe, Chris Packham and musical guest Ellie Goulding. Christian McBride sits in with The Roots.
Hamilton plays Broadway's Richard Rodgers Theatre.