3207961008 has 240 divisors, whose sum is σ = 10585036800. Its totient is φ = 906498432.

The previous prime is 3207960961. The next prime is 3207961033. The reversal of 3207961008 is 8001697023.

3207961008 is a `hidden beast` number, since 32 + 0 + 7 + 9 + 610 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5284641 + ... + 5285247.

It is an arithmetic number, because the mean of its divisors is an integer number (44104320).

Almost surely, 2^3207961008 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 3207961008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292518400).

3207961008 is an abundant number, since it is smaller than the sum of its proper divisors (7377075792).

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

3207961008 is a wasteful number, since it uses less digits than its factorization.

3207961008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3207961008 is about 56638.8648191328. The cubic root of 3207961008 is about 1474.8336126400.

The spelling of 3207961008 in words is "three billion, two hundred seven million, nine hundred sixty-one thousand, eight".