3990613824 has 112 divisors (see below), whose sum is σ = 11839854400. Its totient is φ = 1317938688.

The previous prime is 3990613801. The next prime is 3990613829. The reversal of 3990613824 is 4283160993.

It is a happy number.

3990613824 is a `hidden beast` number, since 3 + 9 + 9 + 0 + 613 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3990613824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990613829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177759 + ... + 198945.

Almost surely, 2^3990613824 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 3990613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919927200).

3990613824 is an abundant number, since it is smaller than the sum of its proper divisors (7849240576).

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

3990613824 is a wasteful number, since it uses less digits than its factorization.

3990613824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21317 (or 21301 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3990613824 is about 63171.3053846444. The cubic root of 3990613824 is about 1586.1584440447.

The spelling of 3990613824 in words is "three billion, nine hundred ninety million, six hundred thirteen thousand, eight hundred twenty-four".