3957575251968 has 960 divisors, whose sum is σ = 13478066521920. Its totient is φ = 1147764473856.

The previous prime is 3957575251951. The next prime is 3957575252027. The reversal of 3957575251968 is 8691525757593.

3957575251968 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 5 + 7 + 525 + 1 + 96 + 8 = 666.

3957575251968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3957575251968³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3957575251896 and 3957575251905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3620836830 + ... + 3620837922.

It is an arithmetic number, because the mean of its divisors is an integer number (14039652627).

Almost surely, 2^{3957575251968} 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 3957575251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739033260960).

3957575251968 is an abundant number, since it is smaller than the sum of its proper divisors (9520491269952).

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

3957575251968 is a wasteful number, since it uses less digits than its factorization.

3957575251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1207 counting only the distinct ones).

The product of its digits is 714420000, while the sum is 72.

The spelling of 3957575251968 in words is "three trillion, nine hundred fifty-seven billion, five hundred seventy-five million, two hundred fifty-one thousand, nine hundred sixty-eight".