3957216120 has 672 divisors, whose sum is σ = 15985518480. Its totient is φ = 873400320.

The previous prime is 3957216113. The next prime is 3957216121. The reversal of 3957216120 is 216127593.

3957216120 is a `hidden beast` number, since 3 + 9 + 572 + 1 + 61 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957216121) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 54208404 + ... + 54208476.

Almost surely, 2^3957216120 is an apocalyptic number.

3957216120 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 3957216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992759240).

3957216120 is an abundant number, since it is smaller than the sum of its proper divisors (12028302360).

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

3957216120 is a wasteful number, since it uses less digits than its factorization.

3957216120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 3957216120 is about 62906.4076227533. The cubic root of 3957216120 is about 1581.7211548961.

The spelling of 3957216120 in words is "three billion, nine hundred fifty-seven million, two hundred sixteen thousand, one hundred twenty".