38386709760 has 432 divisors, whose sum is σ = 147236285952. Its totient is φ = 8489779200.

The previous prime is 38386709749. The next prime is 38386709807. The reversal of 38386709760 is 6790768383.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38386709760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5829670 + ... + 5836250.

It is an arithmetic number, because the mean of its divisors is an integer number (340824736).

Almost surely, 2^38386709760 is an apocalyptic number.

38386709760 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 38386709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73618142976).

38386709760 is an abundant number, since it is smaller than the sum of its proper divisors (108849576192).

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

38386709760 is a wasteful number, since it uses less digits than its factorization.

38386709760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6650 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 38386709760 in words is "thirty-eight billion, three hundred eighty-six million, seven hundred nine thousand, seven hundred sixty".