38313868320 has 1728 divisors, whose sum is σ = 181291219200. Its totient is φ = 7608287232.

The previous prime is 38313868309. The next prime is 38313868357. The reversal of 38313868320 is 2386831383.

38313868320 is a `hidden beast` number, since 3 + 8 + 313 + 8 + 6 + 8 + 320 = 666.

38313868320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2253756952 + ... + 2253756968.

It is an arithmetic number, because the mean of its divisors is an integer number (104913900).

Almost surely, 2^38313868320 is an apocalyptic number.

38313868320 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 38313868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90645609600).

38313868320 is an abundant number, since it is smaller than the sum of its proper divisors (142977350880).

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

38313868320 is a wasteful number, since it uses less digits than its factorization.

38313868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38313868320 in words is "thirty-eight billion, three hundred thirteen million, eight hundred sixty-eight thousand, three hundred twenty".