38818348800 has 1296 divisors, whose sum is σ = 169203170304. Its totient is φ = 7805952000.

The previous prime is 38818348759. The next prime is 38818348801. The reversal of 38818348800 is 884381883.

It is a super-2 number, since 2×38818348800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38818348801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1252204785 + ... + 1252204815.

Almost surely, 2^38818348800 is an apocalyptic number.

38818348800 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 38818348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84601585152).

38818348800 is an abundant number, since it is smaller than the sum of its proper divisors (130384821504).

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

38818348800 is a wasteful number, since it uses less digits than its factorization.

38818348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 38818348800 in words is "thirty-eight billion, eight hundred eighteen million, three hundred forty-eight thousand, eight hundred".