3957156720 has 320 divisors, whose sum is σ = 15384729600. Its totient is φ = 926069760.

The previous prime is 3957156713. The next prime is 3957156737. The reversal of 3957156720 is 276517593.

3957156720 is a `hidden beast` number, since 3 + 9 + 571 + 5 + 6 + 72 + 0 = 666.

It is a super-3 number, since 3×3957156720³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 686169 + ... + 691911.

It is an arithmetic number, because the mean of its divisors is an integer number (48077280).

Almost surely, 2^3957156720 is an apocalyptic number.

3957156720 is a gapful number since it is divisible by the number (30) 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 3957156720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692364800).

3957156720 is an abundant number, since it is smaller than the sum of its proper divisors (11427572880).

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

3957156720 is a wasteful number, since it uses less digits than its factorization.

3957156720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 3957156720 is about 62905.9354910171. The cubic root of 3957156720 is about 1581.7132406870.

The spelling of 3957156720 in words is "three billion, nine hundred fifty-seven million, one hundred fifty-six thousand, seven hundred twenty".