3957403968 has 336 divisors, whose sum is σ = 13659819264. Its totient is φ = 1071636480.

The previous prime is 3957403951. The next prime is 3957403969. The reversal of 3957403968 is 8693047593.

3957403968 is a `hidden beast` number, since 3 + 9 + 574 + 0 + 3 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3957403968² = 31322092331884290048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957403969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6116221 + ... + 6116867.

It is an arithmetic number, because the mean of its divisors is an integer number (40654224).

Almost surely, 2^3957403968 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 3957403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829909632).

3957403968 is an abundant number, since it is smaller than the sum of its proper divisors (9702415296).

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

3957403968 is a wasteful number, since it uses less digits than its factorization.

3957403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3957403968 is about 62907.9006802802. The cubic root of 3957403968 is about 1581.7461824613.

The spelling of 3957403968 in words is "three billion, nine hundred fifty-seven million, four hundred three thousand, nine hundred sixty-eight".