38635751856 has 240 divisors, whose sum is σ = 116945848320. Its totient is φ = 10895731200.

The previous prime is 38635751821. The next prime is 38635751857. The reversal of 38635751856 is 65815753683.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 38635751796 and 38635751805.

It is not an unprimeable number, because it can be changed into a prime (38635751857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11391921 + ... + 11395311.

It is an arithmetic number, because the mean of its divisors is an integer number (487274368).

Almost surely, 2^38635751856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38635751856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58472924160).

38635751856 is an abundant number, since it is smaller than the sum of its proper divisors (78310096464).

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

38635751856 is a wasteful number, since it uses less digits than its factorization.

38635751856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3459 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 57.

The spelling of 38635751856 in words is "thirty-eight billion, six hundred thirty-five million, seven hundred fifty-one thousand, eight hundred fifty-six".