38227681800 has 288 divisors, whose sum is σ = 160060380480. Its totient is φ = 7943385600.

The previous prime is 38227681781. The next prime is 38227681841. The reversal of 38227681800 is 818672283.

It is a super-2 number, since 2×38227681800² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 694 + ... + 276506.

It is an arithmetic number, because the mean of its divisors is an integer number (555765210).

Almost surely, 2^38227681800 is an apocalyptic number.

38227681800 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 38227681800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80030190240).

38227681800 is an abundant number, since it is smaller than the sum of its proper divisors (121832698680).

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

38227681800 is a wasteful number, since it uses less digits than its factorization.

38227681800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275853 (or 275841 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

It can be divided in two parts, 38227 and 681800, that added together give a palindrome (720027).

The spelling of 38227681800 in words is "thirty-eight billion, two hundred twenty-seven million, six hundred eighty-one thousand, eight hundred".