38701797784832 has 144 divisors (see below), whose sum is σ = 95153619641472. Its totient is φ = 15298729943040.

The previous prime is 38701797784799. The next prime is 38701797784877. The reversal of 38701797784832 is 23848779710783.

It is a self number, because there is not a number n which added to its sum of digits gives 38701797784832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29431718 + ... + 30718554.

It is an arithmetic number, because the mean of its divisors is an integer number (660789025288).

Almost surely, 2^{38701797784832} is an apocalyptic number.

38701797784832 is a gapful number since it is divisible by the number (32) 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 38701797784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47576809820736).

38701797784832 is an abundant number, since it is smaller than the sum of its proper divisors (56451821856640).

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

38701797784832 is a wasteful number, since it uses less digits than its factorization.

38701797784832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288164 (or 1288150 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 74.

The spelling of 38701797784832 in words is "thirty-eight trillion, seven hundred one billion, seven hundred ninety-seven million, seven hundred eighty-four thousand, eight hundred thirty-two".