38936080097280 has 1120 divisors, whose sum is σ = 143079237677376. Its totient is φ = 10126206959616.

The previous prime is 38936080097207. The next prime is 38936080097281. The reversal of 38936080097280 is 8279008063983.

38936080097280 is a `hidden beast` number, since 38 + 9 + 360 + 80 + 0 + 97 + 2 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (38936080097281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23785020622 + ... + 23785022258.

Almost surely, 2^{38936080097280} is an apocalyptic number.

38936080097280 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 38936080097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71539618838688).

38936080097280 is an abundant number, since it is smaller than the sum of its proper divisors (104143157580096).

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

38936080097280 is a wasteful number, since it uses less digits than its factorization.

38936080097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 38936080097280 in words is "thirty-eight trillion, nine hundred thirty-six billion, eighty million, ninety-seven thousand, two hundred eighty".