3996480384 has 320 divisors, whose sum is σ = 12959100000. Its totient is φ = 1215295488.

The previous prime is 3996480353. The next prime is 3996480403. The reversal of 3996480384 is 4830846993.

It is a happy number.

3996480384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3996480384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20082717 + ... + 20082915.

Almost surely, 2^3996480384 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 3996480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479550000).

3996480384 is an abundant number, since it is smaller than the sum of its proper divisors (8962619616).

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

3996480384 is a wasteful number, since it uses less digits than its factorization.

3996480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3996480384 is about 63217.7220722164. The cubic root of 3996480384 is about 1586.9353284991.

The spelling of 3996480384 in words is "three billion, nine hundred ninety-six million, four hundred eighty thousand, three hundred eighty-four".