3968888688 has 60 divisors (see below), whose sum is σ = 11241233640. Its totient is φ = 1307019648.

The previous prime is 3968888687. The next prime is 3968888743. The reversal of 3968888688 is 8868888693.

3968888688 is a `hidden beast` number, since 396 + 8 + 88 + 86 + 88 = 666.

3968888688 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-2 number, since 2×3968888688² = 31504154835468722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968888687) 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, 154083 + ... + 177986.

It is an arithmetic number, because the mean of its divisors is an integer number (187353894).

Almost surely, 2^3968888688 is an apocalyptic number.

It is an amenable number.

3968888688 is an abundant number, since it is smaller than the sum of its proper divisors (7272344952).

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

3968888688 is a wasteful number, since it uses less digits than its factorization.

3968888688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332166 (or 332157 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 72.

The square root of 3968888688 is about 62999.1165652345. The cubic root of 3968888688 is about 1583.2748249282.

The spelling of 3968888688 in words is "three billion, nine hundred sixty-eight million, eight hundred eighty-eight thousand, six hundred eighty-eight".