3972493656 has 48 divisors (see below), whose sum is σ = 10765070160. Its totient is φ = 1323397440.

The previous prime is 3972493607. The next prime is 3972493661. The reversal of 3972493656 is 6563942793.

3972493656 is a `hidden beast` number, since 3 + 97 + 2 + 493 + 65 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116766 + ... + 146898.

It is an arithmetic number, because the mean of its divisors is an integer number (224272295).

Almost surely, 2^3972493656 is an apocalyptic number.

3972493656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3972493656 is an abundant number, since it is smaller than the sum of its proper divisors (6792576504).

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

3972493656 is a wasteful number, since it uses less digits than its factorization.

3972493656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31976 (or 31969 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The square root of 3972493656 is about 63027.7213295864. The cubic root of 3972493656 is about 1583.7540462164.

The spelling of 3972493656 in words is "three billion, nine hundred seventy-two million, four hundred ninety-three thousand, six hundred fifty-six".