38218106880 has 288 divisors, whose sum is σ = 137371852800. Its totient is φ = 10190831616.

The previous prime is 38218106863. The next prime is 38218106887. The reversal of 38218106880 is 8860181283.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×38218106880² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38218106887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2480641 + ... + 2495999.

It is an arithmetic number, because the mean of its divisors is an integer number (476985600).

Almost surely, 2^38218106880 is an apocalyptic number.

38218106880 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 38218106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68685926400).

38218106880 is an abundant number, since it is smaller than the sum of its proper divisors (99153745920).

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

38218106880 is an equidigital number, since it uses as much as digits as its factorization.

38218106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15401 (or 15369 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 38218106880 in words is "thirty-eight billion, two hundred eighteen million, one hundred six thousand, eight hundred eighty".