3204569120 has 96 divisors (see below), whose sum is σ = 7726849200. Its totient is φ = 1255587840.

The previous prime is 3204569113. The next prime is 3204569131. The reversal of 3204569120 is 219654023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 275161744 + 2929407376 = 16588^2 + 54124^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 3054356 + ... + 3055404.

Almost surely, 2^3204569120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3204569120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863424600).

3204569120 is an abundant number, since it is smaller than the sum of its proper divisors (4522280080).

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

3204569120 is a wasteful number, since it uses less digits than its factorization.

3204569120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 3204569120 is about 56608.9137857281. The cubic root of 3204569120 is about 1474.3136318223.

The spelling of 3204569120 in words is "three billion, two hundred four million, five hundred sixty-nine thousand, one hundred twenty".