3925657419264 has 960 divisors, whose sum is σ = 14048659310400. Its totient is φ = 1077905719296.

The previous prime is 3925657419247. The next prime is 3925657419287. The reversal of 3925657419264 is 4629147565293.

It is a happy number.

3925657419264 is a `hidden beast` number, since 3 + 9 + 2 + 56 + 574 + 1 + 9 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6619995352 + ... + 6619995944.

It is an arithmetic number, because the mean of its divisors is an integer number (14634020115).

Almost surely, 2^{3925657419264} 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 3925657419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024329655200).

3925657419264 is an abundant number, since it is smaller than the sum of its proper divisors (10123001891136).

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

3925657419264 is a wasteful number, since it uses less digits than its factorization.

3925657419264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 971 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 3925657419264 in words is "three trillion, nine hundred twenty-five billion, six hundred fifty-seven million, four hundred nineteen thousand, two hundred sixty-four".