3993312 has 24 divisors (see below), whose sum is σ = 10482696. Its totient is φ = 1331072.

The previous prime is 3993263. The next prime is 3993313. The reversal of 3993312 is 2133993.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3993312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20703 + ... + 20894.

It is an arithmetic number, because the mean of its divisors is an integer number (436779).

Almost surely, 2^3993312 is an apocalyptic number.

3993312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3993312 is an abundant number, since it is smaller than the sum of its proper divisors (6489384).

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

3993312 is a wasteful number, since it uses less digits than its factorization.

3993312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41610 (or 41602 counting only the distinct ones).

The product of its digits is 4374, while the sum is 30.

The square root of 3993312 is about 1998.3273005191. The cubic root of 3993312 is about 158.6515846911.

The spelling of 3993312 in words is "three million, nine hundred ninety-three thousand, three hundred twelve".