3973824 has 42 divisors (see below), whose sum is σ = 11391900. Its totient is φ = 1324416.

The previous prime is 3973811. The next prime is 3973829. The reversal of 3973824 is 4283793.

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

It is not an unprimeable number, because it can be changed into a prime (3973829) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2874 + ... + 4025.

Almost surely, 2^3973824 is an apocalyptic number.

It is an amenable number.

3973824 is an abundant number, since it is smaller than the sum of its proper divisors (7418076).

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

3973824 is a wasteful number, since it uses less digits than its factorization.

3973824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6904 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3973824 is about 1993.4452588421. The cubic root of 3973824 is about 158.3930820364.

It can be divided in two parts, 397382 and 4, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 3973824 in words is "three million, nine hundred seventy-three thousand, eight hundred twenty-four".