3895915968 has 392 divisors, whose sum is σ = 13503534080. Its totient is φ = 1091750400.

The previous prime is 3895915951. The next prime is 3895916021. The reversal of 3895915968 is 8695195983.

3895915968 is a `hidden beast` number, since 38 + 9 + 5 + 9 + 1 + 596 + 8 = 666.

3895915968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3895915968³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25800693 + ... + 25800843.

Almost surely, 2^3895915968 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 3895915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751767040).

3895915968 is an abundant number, since it is smaller than the sum of its proper divisors (9607618112).

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

3895915968 is an equidigital number, since it uses as much as digits as its factorization.

3895915968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 242 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 63.

The square root of 3895915968 is about 62417.2729939397. The cubic root of 3895915968 is about 1573.5112789892.

The spelling of 3895915968 in words is "three billion, eight hundred ninety-five million, nine hundred fifteen thousand, nine hundred sixty-eight".