3957960 has 32 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1055424.

The previous prime is 3957959. The next prime is 3957973. The reversal of 3957960 is 697593.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16372 + ... + 16611.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 2^3957960 is an apocalyptic number.

3957960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3957960 is an abundant number, since it is smaller than the sum of its proper divisors (7916280).

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

3957960 is a wasteful number, since it uses less digits than its factorization.

3957960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32997 (or 32993 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 3957960 is about 1989.4622388977. The cubic root of 3957960 is about 158.1820259669.

The spelling of 3957960 in words is "three million, nine hundred fifty-seven thousand, nine hundred sixty".