3688668672 has 320 divisors, whose sum is σ = 11219281920. Its totient is φ = 1069056000.

The previous prime is 3688668667. The next prime is 3688668679. The reversal of 3688668672 is 2768668863.

3688668672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688668679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36521422 + ... + 36521522.

It is an arithmetic number, because the mean of its divisors is an integer number (35060256).

Almost surely, 2^3688668672 is an apocalyptic number.

3688668672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609640960).

3688668672 is an abundant number, since it is smaller than the sum of its proper divisors (7530613248).

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

3688668672 is a wasteful number, since it uses less digits than its factorization.

3688668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The square root of 3688668672 is about 60734.4109381165. The cubic root of 3688668672 is about 1545.0998454551.

The spelling of 3688668672 in words is "three billion, six hundred eighty-eight million, six hundred sixty-eight thousand, six hundred seventy-two".