3957729564096 has 840 divisors, whose sum is σ = 15368636524032. Its totient is φ = 994799232000.

The previous prime is 3957729564073. The next prime is 3957729564109. The reversal of 3957729564096 is 6904659277593.

3957729564096 is a `hidden beast` number, since 3 + 9 + 57 + 7 + 2 + 9 + 564 + 0 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86596611 + ... + 86642301.

Almost surely, 2^{3957729564096} is an apocalyptic number.

3957729564096 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 3957729564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684318262016).

3957729564096 is an abundant number, since it is smaller than the sum of its proper divisors (11410906959936).

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

3957729564096 is a wasteful number, since it uses less digits than its factorization.

3957729564096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45771 (or 45745 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 72.

The spelling of 3957729564096 in words is "three trillion, nine hundred fifty-seven billion, seven hundred twenty-nine million, five hundred sixty-four thousand, ninety-six".