3564

3564 = 2 x 2 x 3 x 3 x 3 x 3 x 11.

3564 is 11220000 in base 3.

3564 is a concentric hendecagonal number (A195043).

3564 is both an abundant number and a Smith number (A098835).

3564 is a number n such that n together with its double and triple contain every digit (A120564).

3564 divides 89¹⁸ - 1.

3564 divides 1¹ + 2² + 3³ + . . . + 3564³⁵⁶⁴ (A135189).

Source: What's Special About This Number