3972724 has 18 divisors (see below), whose sum is σ = 8087730. Its totient is φ = 1702512.

The previous prime is 3972697. The next prime is 3972737. The reversal of 3972724 is 4272793.

It can be written as a sum of positive squares in only one way, i.e., 3732624 + 240100 = 1932^2 + 490^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3972724.

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 5 ways as a sum of consecutive naturals, for example, 9939 + ... + 10330.

Almost surely, 2^3972724 is an apocalyptic number.

It is an amenable number.

3972724 is an abundant number, since it is smaller than the sum of its proper divisors (4115006).

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

3972724 is a wasteful number, since it uses less digits than its factorization.

3972724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20287 (or 20278 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 3972724 is about 1993.1693355056. The cubic root of 3972724 is about 158.3784656812.

The spelling of 3972724 in words is "three million, nine hundred seventy-two thousand, seven hundred twenty-four".