3972636 has 36 divisors (see below), whose sum is σ = 10118472. Its totient is φ = 1314144.

The previous prime is 3972601. The next prime is 3972643. The reversal of 3972636 is 6362793.

3972636 is a `hidden beast` number, since 397 + 263 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3972636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5530 + ... + 6206.

Almost surely, 2^3972636 is an apocalyptic number.

3972636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3972636 is an abundant number, since it is smaller than the sum of its proper divisors (6145836).

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

3972636 is a wasteful number, since it uses less digits than its factorization.

3972636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 845 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 3972636 is about 1993.1472599886. The cubic root of 3972636 is about 158.3772962562.

The spelling of 3972636 in words is "three million, nine hundred seventy-two thousand, six hundred thirty-six".