3925905984 has 504 divisors, whose sum is σ = 15247843520. Its totient is φ = 939755520.

The previous prime is 3925905959. The next prime is 3925906009. The reversal of 3925905984 is 4895095293.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3925905959) and next prime (3925906009).

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 3925905984.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6342027 + ... + 6342645.

Almost surely, 2^3925905984 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 3925905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623921760).

3925905984 is an abundant number, since it is smaller than the sum of its proper divisors (11321937536).

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

3925905984 is a wasteful number, since it uses less digits than its factorization.

3925905984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The square root of 3925905984 is about 62657.0505529904. The cubic root of 3925905984 is about 1577.5384926517.

It can be divided in two parts, 3925 and 905984, that added together give a palindrome (909909).

The spelling of 3925905984 in words is "three billion, nine hundred twenty-five million, nine hundred five thousand, nine hundred eighty-four".