3972904 has 16 divisors (see below), whose sum is σ = 8022420. Its totient is φ = 1833600.

The previous prime is 3972901. The next prime is 3972911. The reversal of 3972904 is 4092793.

3972904 = T₈₂ + T₈₃ + ... + T₂₈₉.

It can be written as a sum of positive squares in 2 ways, for example, as 3724900 + 248004 = 1930^2 + 498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3972904.

It is not an unprimeable number, because it can be changed into a prime (3972901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18997 + ... + 19204.

Almost surely, 2^3972904 is an apocalyptic number.

It is an amenable number.

3972904 is an abundant number, since it is smaller than the sum of its proper divisors (4049516).

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

3972904 is a wasteful number, since it uses less digits than its factorization.

3972904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38220 (or 38216 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 3972904 is about 1993.2144892108. The cubic root of 3972904 is about 158.3808576330.

The spelling of 3972904 in words is "three million, nine hundred seventy-two thousand, nine hundred four".