38838100400 has 90 divisors (see below), whose sum is σ = 101825403516. Its totient is φ = 14118192000.

The previous prime is 38838100337. The next prime is 38838100417. The reversal of 38838100400 is 400183883.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13070915 + ... + 13073885.

Almost surely, 2^38838100400 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 38838100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50912701758).

38838100400 is an abundant number, since it is smaller than the sum of its proper divisors (62987303116).

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

38838100400 is an equidigital number, since it uses as much as digits as its factorization.

38838100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 38838100400 in words is "thirty-eight billion, eight hundred thirty-eight million, one hundred thousand, four hundred".