3957094955268 has 288 divisors, whose sum is σ = 12613990188800. Its totient is φ = 1018005553152.

The previous prime is 3957094955237. The next prime is 3957094955323. The reversal of 3957094955268 is 8625594907593.

It is a happy number.

3957094955268 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 0 + 9 + 4 + 9 + 552 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3957094955196 and 3957094955205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108309228 + ... + 108345756.

Almost surely, 2^{3957094955268} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957094955268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306995094400).

3957094955268 is an abundant number, since it is smaller than the sum of its proper divisors (8656895233532).

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

3957094955268 is a wasteful number, since it uses less digits than its factorization.

3957094955268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37371 (or 37366 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 3957094955268 in words is "three trillion, nine hundred fifty-seven billion, ninety-four million, nine hundred fifty-five thousand, two hundred sixty-eight".