3204532800 has 336 divisors, whose sum is σ = 13351784320. Its totient is φ = 732395520.

The previous prime is 3204532777. The next prime is 3204532819. The reversal of 3204532800 is 82354023.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297102 + ... + 307698.

Almost surely, 2^3204532800 is an apocalyptic number.

3204532800 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 3204532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675892160).

3204532800 is an abundant number, since it is smaller than the sum of its proper divisors (10147251520).

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

3204532800 is a wasteful number, since it uses less digits than its factorization.

3204532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635 (or 10614 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3204532800 is about 56608.5929872842. The cubic root of 3204532800 is about 1474.3080619343.

Adding to 3204532800 its reverse (82354023), we get a palindrome (3286886823).

The spelling of 3204532800 in words is "three billion, two hundred four million, five hundred thirty-two thousand, eight hundred".