3326004400 has 60 divisors (see below), whose sum is σ = 8141545872. Its totient is φ = 1305291520.

The previous prime is 3326004391. The next prime is 3326004431. The reversal of 3326004400 is 44006233.

3326004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3326004400² = 22124610537638720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57244 + ... + 99643.

Almost surely, 2^3326004400 is an apocalyptic number.

It is an amenable number.

3326004400 is an abundant number, since it is smaller than the sum of its proper divisors (4815541472).

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

3326004400 is a wasteful number, since it uses less digits than its factorization.

3326004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156958 (or 156947 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3326004400 is about 57671.5215682749. The cubic root of 3326004400 is about 1492.7059816137.

The spelling of 3326004400 in words is "three billion, three hundred twenty-six million, four thousand, four hundred".