3972944 has 10 divisors (see below), whose sum is σ = 7697610. Its totient is φ = 1986464.

The previous prime is 3972937. The next prime is 3972953. The reversal of 3972944 is 4492793.

3972944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2849344 + 1123600 = 1688^2 + 1060^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3972898 and 3972907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124139 + ... + 124170.

It is an arithmetic number, because the mean of its divisors is an integer number (769761).

Almost surely, 2^3972944 is an apocalyptic number.

It is an amenable number.

3972944 is a deficient number, since it is larger than the sum of its proper divisors (3724666).

3972944 is a wasteful number, since it uses less digits than its factorization.

3972944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248317 (or 248311 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 3972944 is about 1993.2245232286. The cubic root of 3972944 is about 158.3813891681.

The spelling of 3972944 in words is "three million, nine hundred seventy-two thousand, nine hundred forty-four".