3990816 has 96 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1278720.

The previous prime is 3990773. The next prime is 3990827. The reversal of 3990816 is 6180993.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3990816² = 31853224691712, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26710 + ... + 26858.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 2^3990816 is an apocalyptic number.

3990816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3990816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3990816 is an abundant number, since it is smaller than the sum of its proper divisors (8105184).

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

3990816 is a wasteful number, since it uses less digits than its factorization.

3990816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3990816 is about 1997.7026805809. The cubic root of 3990816 is about 158.6185230045.

The spelling of 3990816 in words is "three million, nine hundred ninety thousand, eight hundred sixteen".