3457995264 has 240 divisors, whose sum is σ = 10460993400. Its totient is φ = 1098252288.

The previous prime is 3457995259. The next prime is 3457995301. The reversal of 3457995264 is 4625997543.

3457995264 is a `hidden beast` number, since 3 + 4 + 579 + 9 + 5 + 2 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2813241600 + 644753664 = 53040^2 + 25392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3457995264.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15100302 + ... + 15100530.

Almost surely, 2^3457995264 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 3457995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230496700).

3457995264 is an abundant number, since it is smaller than the sum of its proper divisors (7002998136).

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

3457995264 is a wasteful number, since it uses less digits than its factorization.

3457995264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 3457995264 is about 58804.7214430950. The cubic root of 3457995264 is about 1512.1961616664.

The spelling of 3457995264 in words is "three billion, four hundred fifty-seven million, nine hundred ninety-five thousand, two hundred sixty-four".