3249604960 has 192 divisors, whose sum is σ = 9357465600. Its totient is φ = 1041610752.

The previous prime is 3249604913. The next prime is 3249604973. The reversal of 3249604960 is 694069423.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1680154 + ... + 1682086.

It is an arithmetic number, because the mean of its divisors is an integer number (48736800).

Almost surely, 2^3249604960 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 3249604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678732800).

3249604960 is an abundant number, since it is smaller than the sum of its proper divisors (6107860640).

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

3249604960 is a wasteful number, since it uses less digits than its factorization.

3249604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 3249604960 is about 57005.3064196659. The cubic root of 3249604960 is about 1481.1880161592.

The spelling of 3249604960 in words is "three billion, two hundred forty-nine million, six hundred four thousand, nine hundred sixty".