3688670435688 has 512 divisors, whose sum is σ = 12609063936000. Its totient is φ = 975177584640.

The previous prime is 3688670435669. The next prime is 3688670435689. The reversal of 3688670435688 is 8865340768863.

3688670435688 is a `hidden beast` number, since 3 + 68 + 8 + 6 + 70 + 435 + 68 + 8 = 666.

3688670435688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3688670435689) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 691666270 + ... + 691671602.

It is an arithmetic number, because the mean of its divisors is an integer number (24627078000).

Almost surely, 2^{3688670435688} 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 3688670435688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304531968000).

3688670435688 is an abundant number, since it is smaller than the sum of its proper divisors (8920393500312).

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

3688670435688 is a wasteful number, since it uses less digits than its factorization.

3688670435688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 3688670435688 in words is "three trillion, six hundred eighty-eight billion, six hundred seventy million, four hundred thirty-five thousand, six hundred eighty-eight".