3181968072 has 24 divisors (see below), whose sum is σ = 8617830390. Its totient is φ = 1060656000.

The previous prime is 3181968037. The next prime is 3181968077. The reversal of 3181968072 is 2708691813.

3181968072 is a `hidden beast` number, since 318 + 196 + 80 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3027860676 + 154107396 = 55026^2 + 12414^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3181968072² = 20249841622454794368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3181968077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22096929 + ... + 22097072.

Almost surely, 2^3181968072 is an apocalyptic number.

It is an amenable number.

3181968072 is an abundant number, since it is smaller than the sum of its proper divisors (5435862318).

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

3181968072 is a wasteful number, since it uses less digits than its factorization.

3181968072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44194013 (or 44194006 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 3181968072 is about 56408.9361005860. The cubic root of 3181968072 is about 1470.8394594407.

The spelling of 3181968072 in words is "three billion, one hundred eighty-one million, nine hundred sixty-eight thousand, seventy-two".