**3488**= 2 x 2 x 2 x 2 x 2 x 109.

**3488**has a fifth root that starts 5.11111. . .

**3488**is the number of complete squares that fit inside a circle of radius 34, drawn on squared paper (A119677).

**3488**is the number of sums payable using exactly 37 banknotes of denominations 1, 5, 10, 20, 50, 100 (change allowable) (A135526).

**3488**has a representation as a sum of two squares:

**3488**= 28

^{2}+ 52

^{2}.

**3488**is a divisor of 33

^{4}- 1.

Source: What's Special About This Number?