2 × 32 × 7 × 29
1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827 and 3654
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.