38582468637720 has 256 divisors, whose sum is σ = 134185337303040. Its totient is φ = 8692173877248.

The previous prime is 38582468637707. The next prime is 38582468637721. The reversal of 38582468637720 is 2773686428583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38582468637721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90971274 + ... + 91394406.

It is an arithmetic number, because the mean of its divisors is an integer number (524161473840).

Almost surely, 2^{38582468637720} is an apocalyptic number.

38582468637720 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 38582468637720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67092668651520).

38582468637720 is an abundant number, since it is smaller than the sum of its proper divisors (95602868665320).

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

38582468637720 is a wasteful number, since it uses less digits than its factorization.

38582468637720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424714 (or 424710 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 69.

The spelling of 38582468637720 in words is "thirty-eight trillion, five hundred eighty-two billion, four hundred sixty-eight million, six hundred thirty-seven thousand, seven hundred twenty".