24 × 35
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944 and 3888
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.