3202564960 has 192 divisors, whose sum is σ = 8949491712. Its totient is φ = 1060263936.

The previous prime is 3202564853. The next prime is 3202564997. The reversal of 3202564960 is 694652023.

3202564960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4368754 + ... + 4369486.

It is an arithmetic number, because the mean of its divisors is an integer number (46611936).

Almost surely, 2^3202564960 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 3202564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474745856).

3202564960 is an abundant number, since it is smaller than the sum of its proper divisors (5746926752).

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

3202564960 is a wasteful number, since it uses less digits than its factorization.

3202564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 3202564960 is about 56591.2092113254. The cubic root of 3202564960 is about 1474.0062190327.

The spelling of 3202564960 in words is "three billion, two hundred two million, five hundred sixty-four thousand, nine hundred sixty".