3204864000 has 576 divisors, whose sum is σ = 12556645920. Its totient is φ = 781516800.

The previous prime is 3204863993. The next prime is 3204864001. The reversal of 3204864000 is 4684023.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3204864001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29951947 + ... + 29952053.

Almost surely, 2^3204864000 is an apocalyptic number.

3204864000 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 3204864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278322960).

3204864000 is an abundant number, since it is smaller than the sum of its proper divisors (9351781920).

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

3204864000 is a wasteful number, since it uses less digits than its factorization.

3204864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3204864000 is about 56611.5182626292. The cubic root of 3204864000 is about 1474.3588518663.

The spelling of 3204864000 in words is "three billion, two hundred four million, eight hundred sixty-four thousand".