3686038687800 has 768 divisors, whose sum is σ = 15766609920000. Its totient is φ = 772427404800.

The previous prime is 3686038687777. The next prime is 3686038687829. The reversal of 3686038687800 is 87868306863.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22181421 + ... + 22346979.

It is an arithmetic number, because the mean of its divisors is an integer number (20529440000).

Almost surely, 2^{3686038687800} is an apocalyptic number.

3686038687800 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 3686038687800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7883304960000).

3686038687800 is an abundant number, since it is smaller than the sum of its proper divisors (12080571232200).

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

3686038687800 is a wasteful number, since it uses less digits than its factorization.

3686038687800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165641 (or 165626 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 3686038687800 in words is "three trillion, six hundred eighty-six billion, thirty-eight million, six hundred eighty-seven thousand, eight hundred".