3957346318864 has 45 divisors (see below), whose sum is σ = 7707138796461. Its totient is φ = 1968460052160.

The previous prime is 3957346318847. The next prime is 3957346318867. The reversal of 3957346318864 is 4688136437593.

The square root of 3957346318864 is 1989308.

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

It can be written as a sum of positive squares in only one way, i.e., 719477168400 + 3237869150464 = 848220^2 + 1799408^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3957346318864.

It is not an unprimeable number, because it can be changed into a prime (3957346318867) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1678974774 + ... + 1678977130.

Almost surely, 2^{3957346318864} is an apocalyptic number.

3957346318864 is the 1989308-th square number.

It is an amenable number.

3957346318864 is a deficient number, since it is larger than the sum of its proper divisors (3749792477597).

3957346318864 is an frugal number, since it uses more digits than its factorization.

3957346318864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 2570 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 67.

The spelling of 3957346318864 in words is "three trillion, nine hundred fifty-seven billion, three hundred forty-six million, three hundred eighteen thousand, eight hundred sixty-four".