38242221475800 has 384 divisors, whose sum is σ = 124212862368000. Its totient is φ = 9722487490560.

The previous prime is 38242221475739. The next prime is 38242221475901. The reversal of 38242221475800 is 857412224283.

It is a self number, because there is not a number n which added to its sum of digits gives 38242221475800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 925963551 + ... + 926004849.

It is an arithmetic number, because the mean of its divisors is an integer number (323470995750).

Almost surely, 2^{38242221475800} is an apocalyptic number.

38242221475800 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 38242221475800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62106431184000).

38242221475800 is an abundant number, since it is smaller than the sum of its proper divisors (85970640892200).

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

38242221475800 is a wasteful number, since it uses less digits than its factorization.

38242221475800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42195 (or 42186 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 38242221475800 in words is "thirty-eight trillion, two hundred forty-two billion, two hundred twenty-one million, four hundred seventy-five thousand, eight hundred".