3993984 has 48 divisors (see below), whose sum is σ = 11496420. Its totient is φ = 1330944.

The previous prime is 3993959. The next prime is 3993991. The reversal of 3993984 is 4893993.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

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, 582 + ... + 2885.

Almost surely, 2^3993984 is an apocalyptic number.

It is an amenable number.

3993984 is an abundant number, since it is smaller than the sum of its proper divisors (7502436).

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

3993984 is a wasteful number, since it uses less digits than its factorization.

3993984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3472 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 3993984 is about 1998.4954340703. The cubic root of 3993984 is about 158.6604835604.

Subtracting 3993984 from its reverse (4893993), we obtain a palindrome (900009).

The spelling of 3993984 in words is "three million, nine hundred ninety-three thousand, nine hundred eighty-four".