3264774400 has 54 divisors (see below), whose sum is σ = 8080842602. Its totient is φ = 1305907200.

The previous prime is 3264774371. The next prime is 3264774407. The reversal of 3264774400 is 44774623.

It can be written as a sum of positive squares in 3 ways, for example, as 94633984 + 3170140416 = 9728^2 + 56304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3264774400.

It is not an unprimeable number, because it can be changed into a prime (3264774407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 248661 + ... + 261460.

Almost surely, 2^3264774400 is an apocalyptic number.

It is an amenable number.

3264774400 is an abundant number, since it is smaller than the sum of its proper divisors (4816068202).

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

3264774400 is an equidigital number, since it uses as much as digits as its factorization.

3264774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510147 (or 510128 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The square root of 3264774400 is about 57138.2043820070. The cubic root of 3264774400 is about 1483.4892108489.

The spelling of 3264774400 in words is "three billion, two hundred sixty-four million, seven hundred seventy-four thousand, four hundred".