DL 532 then DL 3876 at Denver
New York JFK → Denver → Austin
Timetable, Denver time
11:13DL 532 from New York JFK at the gate
09:42DL 3876 to Austin leaves the gate
22 h 29 apart on the timetable, overnight
DL 3876 leaves 22 h 29 after DL 532 arrives on the timetable: more than half a day, so not a connection we count.