3957168 has 40 divisors (see below), whose sum is σ = 10763200. Its totient is φ = 1249344.

The previous prime is 3957167. The next prime is 3957169. The reversal of 3957168 is 8617593.

It is an interprime number because it is at equal distance from previous prime (3957167) and next prime (3957169).

It is not an unprimeable number, because it can be changed into a prime (3957167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1258 + ... + 3081.

It is an arithmetic number, because the mean of its divisors is an integer number (269080).

Almost surely, 2^3957168 is an apocalyptic number.

3957168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3957168 is an abundant number, since it is smaller than the sum of its proper divisors (6806032).

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

3957168 is a wasteful number, since it uses less digits than its factorization.

3957168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369 (or 4363 counting only the distinct ones).

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

The square root of 3957168 is about 1989.2631801750. The cubic root of 3957168 is about 158.1714743593.

The spelling of 3957168 in words is "three million, nine hundred fifty-seven thousand, one hundred sixty-eight".