25 × 3 × 37
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776 and 3552
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.