3973584 has 40 divisors (see below), whose sum is σ = 10807840. Its totient is φ = 1254528.

The previous prime is 3973579. The next prime is 3973633. The reversal of 3973584 is 4853793.

3973584 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1267 + ... + 3090.

It is an arithmetic number, because the mean of its divisors is an integer number (270196).

Almost surely, 2^3973584 is an apocalyptic number.

It is an amenable number.

3973584 is an abundant number, since it is smaller than the sum of its proper divisors (6834256).

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

3973584 is a wasteful number, since it uses less digits than its factorization.

3973584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4381 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 3973584 is about 1993.3850606443. The cubic root of 3973584 is about 158.3898932435.

It can be divided in two parts, 3973 and 584, that multiplied together give a palindrome (2320232).

The spelling of 3973584 in words is "three million, nine hundred seventy-three thousand, five hundred eighty-four".