3364

Number
$3364$ (three thousand, three hundred and sixty-four) is:


 * $2^2 \times 29^2$


 * The $58$th square number after $1, 4, 9, 16, 25, 36, \ldots, 2304, 2401, 2500, 2601, 2704, 2809, 2916, 3025, 3136, 3249$:
 * $3364 = 58 \times 58$


 * The $47$th positive integer which cannot be expressed as the sum of a square and a prime:
 * $1, 10, 25, 34, 58, 64, 85, \ldots, 2209, 2304, 2500, 2809, 2986, 3136, 3364, \ldots$