3225291264 has 320 divisors, whose sum is σ = 10435582080. Its totient is φ = 977633280.

The previous prime is 3225291259. The next prime is 3225291271. The reversal of 3225291264 is 4621925223.

3225291264 is a `hidden beast` number, since 3 + 2 + 2 + 529 + 126 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23542204 + ... + 23542340.

It is an arithmetic number, because the mean of its divisors is an integer number (32611194).

Almost surely, 2^3225291264 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 3225291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217791040).

3225291264 is an abundant number, since it is smaller than the sum of its proper divisors (7210290816).

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

3225291264 is a wasteful number, since it uses less digits than its factorization.

3225291264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 286 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3225291264 is about 56791.6478366318. The cubic root of 3225291264 is about 1477.4846585539.

The spelling of 3225291264 in words is "three billion, two hundred twenty-five million, two hundred ninety-one thousand, two hundred sixty-four".