38117810304 has 768 divisors, whose sum is σ = 138642969600. Its totient is φ = 10265149440.

The previous prime is 38117810303. The next prime is 38117810359. The reversal of 38117810304 is 40301871183.

38117810304 is a `hidden beast` number, since 381 + 178 + 103 + 0 + 4 = 666.

It is a super-4 number, since 4×38117810304⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38117810303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278232124 + ... + 278232260.

It is an arithmetic number, because the mean of its divisors is an integer number (180524700).

Almost surely, 2^38117810304 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 38117810304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69321484800).

38117810304 is an abundant number, since it is smaller than the sum of its proper divisors (100525159296).

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

38117810304 is a wasteful number, since it uses less digits than its factorization.

38117810304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 38117810304 in words is "thirty-eight billion, one hundred seventeen million, eight hundred ten thousand, three hundred four".