3971167872 has 64 divisors (see below), whose sum is σ = 12055339200. Its totient is φ = 1134618624.

The previous prime is 3971167861. The next prime is 3971167877. The reversal of 3971167872 is 2787611793.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3971167877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 735997 + ... + 741372.

It is an arithmetic number, because the mean of its divisors is an integer number (188364675).

Almost surely, 2^3971167872 is an apocalyptic number.

3971167872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3971167872 is an abundant number, since it is smaller than the sum of its proper divisors (8084171328).

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

3971167872 is a wasteful number, since it uses less digits than its factorization.

3971167872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477393 (or 1477381 counting only the distinct ones).

The product of its digits is 889056, while the sum is 51.

The square root of 3971167872 is about 63017.2029845819. The cubic root of 3971167872 is about 1583.5778387267.

The spelling of 3971167872 in words is "three billion, nine hundred seventy-one million, one hundred sixty-seven thousand, eight hundred seventy-two".