3957133533696 has 1200 divisors, whose sum is σ = 14503050048960. Its totient is φ = 1051842723840.

The previous prime is 3957133533629. The next prime is 3957133533709. The reversal of 3957133533696 is 6963353317593.

It is a happy number.

3957133533696 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 1 + 3 + 3 + 533 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6392784075 + ... + 6392784693.

Almost surely, 2^{3957133533696} is an apocalyptic number.

3957133533696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957133533696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251525024480).

3957133533696 is an abundant number, since it is smaller than the sum of its proper divisors (10545916515264).

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

3957133533696 is an equidigital number, since it uses as much as digits as its factorization.

3957133533696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 711 counting only the distinct ones).

The product of its digits is 124002900, while the sum is 63.

The spelling of 3957133533696 in words is "three trillion, nine hundred fifty-seven billion, one hundred thirty-three million, five hundred thirty-three thousand, six hundred ninety-six".