38180920320000 has 1120 divisors, whose sum is σ = 142445545334400. Its totient is φ = 10103242752000.

The previous prime is 38180920319897. The next prime is 38180920320079. The reversal of 38180920320000 is 2302908183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19215359007 + ... + 19215360993.

It is an arithmetic number, because the mean of its divisors is an integer number (127183522620).

Almost surely, 2^{38180920320000} is an apocalyptic number.

38180920320000 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 38180920320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71222772667200).

38180920320000 is an abundant number, since it is smaller than the sum of its proper divisors (104264625014400).

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

38180920320000 is an equidigital number, since it uses as much as digits as its factorization.

38180920320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 38180920320000 in words is "thirty-eight trillion, one hundred eighty billion, nine hundred twenty million, three hundred twenty thousand".