2 × 32 × 11 × 19
1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881 and 3762
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.