3264979600 has 45 divisors (see below), whose sum is σ = 7846860027. Its totient is φ = 1305534720.

The previous prime is 3264979579. The next prime is 3264979639. The reversal of 3264979600 is 69794623.

The square root of 3264979600 is 57140.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4112784 + 3260866816 = 2028^2 + 57104^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1141372 + ... + 1144228.

Almost surely, 2^3264979600 is an apocalyptic number.

3264979600 is the 57140-th square number.

It is an amenable number.

3264979600 is an abundant number, since it is smaller than the sum of its proper divisors (4581880427).

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

3264979600 is an frugal number, since it uses more digits than its factorization.

3264979600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The cubic root of 3264979600 is about 1483.5202906491.

The spelling of 3264979600 in words is "three billion, two hundred sixty-four million, nine hundred seventy-nine thousand, six hundred".