38085860736 has 576 divisors, whose sum is σ = 140945313600. Its totient is φ = 9760020480.

The previous prime is 38085860731. The next prime is 38085860749. The reversal of 38085860736 is 63706858083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38085860731) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51536655 + ... + 51537393.

It is an arithmetic number, because the mean of its divisors is an integer number (244696725).

Almost surely, 2^38085860736 is an apocalyptic number.

38085860736 is a gapful number since it is divisible by the number (36) 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 38085860736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70472656800).

38085860736 is an abundant number, since it is smaller than the sum of its proper divisors (102859452864).

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

38085860736 is a wasteful number, since it uses less digits than its factorization.

38085860736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38085860736 in words is "thirty-eight billion, eighty-five million, eight hundred sixty thousand, seven hundred thirty-six".