3930915744 has 288 divisors, whose sum is σ = 13347524736. Its totient is φ = 1114767360.

The previous prime is 3930915743. The next prime is 3930915749. The reversal of 3930915744 is 4475190393.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 3930915744.

It is not an unprimeable number, because it can be changed into a prime (3930915743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13988884 + ... + 13989164.

It is an arithmetic number, because the mean of its divisors is an integer number (46345572).

Almost surely, 2^3930915744 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 3930915744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673762368).

3930915744 is an abundant number, since it is smaller than the sum of its proper divisors (9416608992).

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

3930915744 is a wasteful number, since it uses less digits than its factorization.

3930915744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3930915744 is about 62697.0154313585. The cubic root of 3930915744 is about 1578.2092278485.

The spelling of 3930915744 in words is "three billion, nine hundred thirty million, nine hundred fifteen thousand, seven hundred forty-four".