3930788416 has 63 divisors (see below), whose sum is σ = 8303994187. Its totient is φ = 1845770240.

The previous prime is 3930788413. The next prime is 3930788443. The reversal of 3930788416 is 6148870393.

It is a happy number.

The square root of 3930788416 is 62696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 49000000 + 3881788416 = 7000^2 + 62304^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3930788416.

It is not an unprimeable number, because it can be changed into a prime (3930788413) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8526426 + ... + 8526886.

Almost surely, 2^3930788416 is an apocalyptic number.

3930788416 is the 62696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930788416

3930788416 is an abundant number, since it is smaller than the sum of its proper divisors (4373205771).

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

3930788416 is an frugal number, since it uses more digits than its factorization.

3930788416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The cubic root of 3930788416 is about 1578.1921875109.

Multiplying 3930788416 by its sum of digits (49), we get a square (192608632384 = 438872²).

The spelling of 3930788416 in words is "three billion, nine hundred thirty million, seven hundred eighty-eight thousand, four hundred sixteen".