3972968 has 32 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 1847040.

The previous prime is 3972959. The next prime is 3972973. The reversal of 3972968 is 8692793.

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 7 ways as a sum of consecutive naturals, for example, 17705 + ... + 17927.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 2^3972968 is an apocalyptic number.

It is an amenable number.

3972968 is an abundant number, since it is smaller than the sum of its proper divisors (4010392).

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

3972968 is a wasteful number, since it uses less digits than its factorization.

3972968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 3972968 is about 1993.2305436151. The cubic root of 3972968 is about 158.3817080874.

The spelling of 3972968 in words is "three million, nine hundred seventy-two thousand, nine hundred sixty-eight".