3204590400 has 252 divisors, whose sum is σ = 12425927904. Its totient is φ = 776832000.

The previous prime is 3204590399. The next prime is 3204590413. The reversal of 3204590400 is 40954023.

3204590400 is a `hidden beast` number, since 3 + 204 + 59 + 0 + 400 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 148285 + ... + 168515.

Almost surely, 2^3204590400 is an apocalyptic number.

3204590400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3204590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212963952).

3204590400 is an abundant number, since it is smaller than the sum of its proper divisors (9221337504).

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

3204590400 is a wasteful number, since it uses less digits than its factorization.

3204590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20270 (or 20252 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3204590400 is about 56609.1017416811. The cubic root of 3204590400 is about 1474.3168952173.

The spelling of 3204590400 in words is "three billion, two hundred four million, five hundred ninety thousand, four hundred".