22 × 3 × 17 × 19
1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938 and 3876
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.