3930038784 has 320 divisors, whose sum is σ = 14083027200. Its totient is φ = 1056374784.

The previous prime is 3930038779. The next prime is 3930038821. The reversal of 3930038784 is 4878300393.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643862 + ... + 1646250.

It is an arithmetic number, because the mean of its divisors is an integer number (44009460).

Almost surely, 2^3930038784 is an apocalyptic number.

3930038784 is a gapful number since it is divisible by the number (34) 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 3930038784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041513600).

3930038784 is an abundant number, since it is smaller than the sum of its proper divisors (10152988416).

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

3930038784 is a wasteful number, since it uses less digits than its factorization.

3930038784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3930038784 is about 62690.0214069193. The cubic root of 3930038784 is about 1578.0918566141.

The spelling of 3930038784 in words is "three billion, nine hundred thirty million, thirty-eight thousand, seven hundred eighty-four".