3223658256 has 480 divisors, whose sum is σ = 11399270400. Its totient is φ = 775111680.

The previous prime is 3223658239. The next prime is 3223658293. The reversal of 3223658256 is 6528563223.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18009175 + ... + 18009353.

It is an arithmetic number, because the mean of its divisors is an integer number (23748480).

Almost surely, 2^3223658256 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 3223658256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699635200).

3223658256 is an abundant number, since it is smaller than the sum of its proper divisors (8175612144).

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

3223658256 is a wasteful number, since it uses less digits than its factorization.

3223658256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 3223658256 is about 56777.2688318133. The cubic root of 3223658256 is about 1477.2352597259.

The spelling of 3223658256 in words is "three billion, two hundred twenty-three million, six hundred fifty-eight thousand, two hundred fifty-six".