3990288384 has 144 divisors (see below), whose sum is σ = 11838186360. Its totient is φ = 1293926400.

The previous prime is 3990288373. The next prime is 3990288403. The reversal of 3990288384 is 4838820993.

It is a happy number.

3990288384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3990288384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679059 + ... + 684909.

Almost surely, 2^3990288384 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 3990288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919093180).

3990288384 is an abundant number, since it is smaller than the sum of its proper divisors (7847897976).

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

3990288384 is a wasteful number, since it uses less digits than its factorization.

3990288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5916 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 3990288384 is about 63168.7294790706. The cubic root of 3990288384 is about 1586.1153250777.

The spelling of 3990288384 in words is "three billion, nine hundred ninety million, two hundred eighty-eight thousand, three hundred eighty-four".