3875863968 has 72 divisors (see below), whose sum is σ = 11048637600. Its totient is φ = 1288831104.

The previous prime is 3875863967. The next prime is 3875863969. The reversal of 3875863968 is 8693685783.

3875863968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3875863967) and next prime (3875863969).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3875863961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104613 + ... + 136731.

It is an arithmetic number, because the mean of its divisors is an integer number (153453300).

Almost surely, 2^3875863968 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 3875863968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524318800).

3875863968 is an abundant number, since it is smaller than the sum of its proper divisors (7172773632).

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

3875863968 is a wasteful number, since it uses less digits than its factorization.

3875863968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32554 (or 32543 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 3875863968 is about 62256.4371611482. The cubic root of 3875863968 is about 1570.8070509560.

The spelling of 3875863968 in words is "three billion, eight hundred seventy-five million, eight hundred sixty-three thousand, nine hundred sixty-eight".