3993408 has 56 divisors (see below), whose sum is σ = 11744960. Its totient is φ = 1330560.

The previous prime is 3993397. The next prime is 3993427. The reversal of 3993408 is 8043993.

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

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, 573 + ... + 2883.

Almost surely, 2^3993408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872480).

3993408 is an abundant number, since it is smaller than the sum of its proper divisors (7751552).

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

3993408 is a wasteful number, since it uses less digits than its factorization.

3993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3993408 is about 1998.3513204639. The cubic root of 3993408 is about 158.6528560192.

The spelling of 3993408 in words is "three million, nine hundred ninety-three thousand, four hundred eight".