3688206753000 has 1024 divisors, whose sum is σ = 14533381324800. Its totient is φ = 756485760000.

The previous prime is 3688206752963. The next prime is 3688206753017. The reversal of 3688206753000 is 3576028863.

3688206753000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7897658767 + ... + 7897659233.

It is an arithmetic number, because the mean of its divisors is an integer number (14192755200).

Almost surely, 2^{3688206753000} is an apocalyptic number.

3688206753000 is a gapful number since it is divisible by the number (30) 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 3688206753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266690662400).

3688206753000 is an abundant number, since it is smaller than the sum of its proper divisors (10845174571800).

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

3688206753000 is a wasteful number, since it uses less digits than its factorization.

3688206753000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 3688206753000 in words is "three trillion, six hundred eighty-eight billion, two hundred six million, seven hundred fifty-three thousand".