38775789936 has 480 divisors, whose sum is σ = 125041996800. Its totient is φ = 11638059264.

The previous prime is 38775789919. The next prime is 38775789959. The reversal of 38775789936 is 63998757783.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (480090240) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467178151 + ... + 467178233.

It is an arithmetic number, because the mean of its divisors is an integer number (260504160).

Almost surely, 2^38775789936 is an apocalyptic number.

38775789936 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 38775789936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62520998400).

38775789936 is an abundant number, since it is smaller than the sum of its proper divisors (86266206864).

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

38775789936 is an equidigital number, since it uses as much as digits as its factorization.

38775789936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 38775789936 in words is "thirty-eight billion, seven hundred seventy-five million, seven hundred eighty-nine thousand, nine hundred thirty-six".