3975638688 has 288 divisors, whose sum is σ = 13586227200. Its totient is φ = 1078184448.

The previous prime is 3975638671. The next prime is 3975638707. The reversal of 3975638688 is 8868365793.

3975638688 is a `hidden beast` number, since 3 + 9 + 7 + 563 + 8 + 68 + 8 = 666.

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

It is a super-2 number, since 2×3975638688² = 31611405955044722688, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8299633 + ... + 8300111.

It is an arithmetic number, because the mean of its divisors is an integer number (47174400).

Almost surely, 2^3975638688 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 3975638688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793113600).

3975638688 is an abundant number, since it is smaller than the sum of its proper divisors (9610588512).

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

3975638688 is a wasteful number, since it uses less digits than its factorization.

3975638688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 693 counting only the distinct ones).

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

The square root of 3975638688 is about 63052.6659864593. The cubic root of 3975638688 is about 1584.1718898252.

The spelling of 3975638688 in words is "three billion, nine hundred seventy-five million, six hundred thirty-eight thousand, six hundred eighty-eight".