3563264 has 36 divisors (see below), whose sum is σ = 7358400. Its totient is φ = 1720320.

The previous prime is 3563249. The next prime is 3563291. The reversal of 3563264 is 4623653.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7712 + ... + 8160.

It is an arithmetic number, because the mean of its divisors is an integer number (204400).

Almost surely, 2^3563264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679200).

3563264 is an abundant number, since it is smaller than the sum of its proper divisors (3795136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3563264 is an equidigital number, since it uses as much as digits as its factorization.

3563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its digits is 12960, while the sum is 29.

The square root of 3563264 is about 1887.6609865121. The cubic root of 3563264 is about 152.7387856366.

The spelling of 3563264 in words is "three million, five hundred sixty-three thousand, two hundred sixty-four".