3268504224 has 240 divisors, whose sum is σ = 9979848648. Its totient is φ = 1048578048.

The previous prime is 3268504181. The next prime is 3268504237. The reversal of 3268504224 is 4224058623.

It can be written as a sum of positive squares in 4 ways, for example, as 2781507600 + 486996624 = 52740^2 + 22068^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16591294 + ... + 16591490.

Almost surely, 2^3268504224 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 3268504224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989924324).

3268504224 is an abundant number, since it is smaller than the sum of its proper divisors (6711344424).

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

3268504224 is a wasteful number, since it uses less digits than its factorization.

3268504224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3268504224 is about 57170.8336829191. The cubic root of 3268504224 is about 1484.0539306134.

The spelling of 3268504224 in words is "three billion, two hundred sixty-eight million, five hundred four thousand, two hundred twenty-four".