38817864960 has 576 divisors, whose sum is σ = 145576230912. Its totient is φ = 8633253888.

The previous prime is 38817864949. The next prime is 38817864961. The reversal of 38817864960 is 6946871883.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38817864894 and 38817864903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38817864961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283342012 + ... + 283342148.

It is an arithmetic number, because the mean of its divisors is an integer number (252736512).

Almost surely, 2^38817864960 is an apocalyptic number.

38817864960 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 38817864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72788115456).

38817864960 is an abundant number, since it is smaller than the sum of its proper divisors (106758365952).

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

38817864960 is a wasteful number, since it uses less digits than its factorization.

38817864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 38817864960 in words is "thirty-eight billion, eight hundred seventeen million, eight hundred sixty-four thousand, nine hundred sixty".