3993872 has 30 divisors (see below), whose sum is σ = 7976238. Its totient is φ = 1937152.

The previous prime is 3993859. The next prime is 3993889. The reversal of 3993872 is 2783993.

It can be written as a sum of positive squares in only one way, i.e., 2262016 + 1731856 = 1504^2 + 1316^2 .

It is an Ulam number.

Its product of digits (81648) is a multiple of the sum of its prime divisors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35288 + ... + 35400.

Almost surely, 2^3993872 is an apocalyptic number.

It is an amenable number.

3993872 is a deficient number, since it is larger than the sum of its proper divisors (3982366).

3993872 is a wasteful number, since it uses less digits than its factorization.

3993872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 162 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 3993872 is about 1998.4674127941. The cubic root of 3993872 is about 158.6590004848.

The spelling of 3993872 in words is "three million, nine hundred ninety-three thousand, eight hundred seventy-two".