3167006960 has 80 divisors (see below), whose sum is σ = 7938971040. Its totient is φ = 1167989760.

The previous prime is 3167006939. The next prime is 3167006977. The reversal of 3167006960 is 696007613.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485095 + ... + 1487225.

It is an arithmetic number, because the mean of its divisors is an integer number (99237138).

Almost surely, 2^3167006960 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 3167006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969485520).

3167006960 is an abundant number, since it is smaller than the sum of its proper divisors (4771964080).

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

3167006960 is a wasteful number, since it uses less digits than its factorization.

3167006960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 3167006960 is about 56276.1668915003. The cubic root of 3167006960 is about 1468.5306186655.

The spelling of 3167006960 in words is "three billion, one hundred sixty-seven million, six thousand, nine hundred sixty".