3972216413764 has 81 divisors (see below), whose sum is σ = 7474843287261. Its totient is φ = 1846832438880.

The previous prime is 3972216413749. The next prime is 3972216413779. The reversal of 3972216413764 is 4673146122793.

The square root of 3972216413764 is 1993042.

It is a perfect power (a square), and thus also a powerful number.

3972216413764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3972216413749) and next prime (3972216413779).

It can be written as a sum of positive squares in only one way, i.e., 3554393796100 + 417822617664 = 1885310^2 + 646392^2 .

It is a super-2 number, since 2×3972216413764² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3392156899 + ... + 3392158069.

Almost surely, 2^{3972216413764} is an apocalyptic number.

3972216413764 is the 1993042-nd square number.

It is an amenable number.

3972216413764 is a deficient number, since it is larger than the sum of its proper divisors (3502626873497).

3972216413764 is an equidigital number, since it uses as much as digits as its factorization.

3972216413764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 1233 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 55.

The spelling of 3972216413764 in words is "three trillion, nine hundred seventy-two billion, two hundred sixteen million, four hundred thirteen thousand, seven hundred sixty-four".