38686110400 has 336 divisors, whose sum is σ = 115018352640. Its totient is φ = 12519936000.

The previous prime is 38686110389. The next prime is 38686110443. The reversal of 38686110400 is 401168683.

It is a self number, because there is not a number n which added to its sum of digits gives 38686110400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20349450 + ... + 20351350.

Almost surely, 2^38686110400 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 38686110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57509176320).

38686110400 is an abundant number, since it is smaller than the sum of its proper divisors (76332242240).

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

38686110400 is a wasteful number, since it uses less digits than its factorization.

38686110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 38686110400 in words is "thirty-eight billion, six hundred eighty-six million, one hundred ten thousand, four hundred".