3972261656368 has 40 divisors (see below), whose sum is σ = 7831085117760. Its totient is φ = 1951374169920.

The previous prime is 3972261656353. The next prime is 3972261656369. The reversal of 3972261656368 is 8636561622793.

It is a super-3 number, since 3×3972261656368³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3972261656369) 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, 509563 + ... + 2864293.

It is an arithmetic number, because the mean of its divisors is an integer number (195777127944).

Almost surely, 2^{3972261656368} is an apocalyptic number.

It is an amenable number.

3972261656368 is a deficient number, since it is larger than the sum of its proper divisors (3858823461392).

3972261656368 is a wasteful number, since it uses less digits than its factorization.

3972261656368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356585 (or 2356579 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 64.

The spelling of 3972261656368 in words is "three trillion, nine hundred seventy-two billion, two hundred sixty-one million, six hundred fifty-six thousand, three hundred sixty-eight".