3957381120 has 576 divisors, whose sum is σ = 16133644800. Its totient is φ = 818872320.

The previous prime is 3957381097. The next prime is 3957381137. The reversal of 3957381120 is 211837593.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16557961 + ... + 16558199.

It is an arithmetic number, because the mean of its divisors is an integer number (28009800).

Almost surely, 2^3957381120 is an apocalyptic number.

3957381120 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 3957381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066822400).

3957381120 is an abundant number, since it is smaller than the sum of its proper divisors (12176263680).

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

3957381120 is a wasteful number, since it uses less digits than its factorization.

3957381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 3957381120 is about 62907.7190812066. The cubic root of 3957381120 is about 1581.7431383945.

The spelling of 3957381120 in words is "three billion, nine hundred fifty-seven million, three hundred eighty-one thousand, one hundred twenty".