38341084320 has 768 divisors, whose sum is σ = 169491087360. Its totient is φ = 7961379840.

The previous prime is 38341084319. The next prime is 38341084343. The reversal of 38341084320 is 2348014383.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26943129 + ... + 26944551.

It is an arithmetic number, because the mean of its divisors is an integer number (220691520).

Almost surely, 2^38341084320 is an apocalyptic number.

38341084320 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 38341084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84745543680).

38341084320 is an abundant number, since it is smaller than the sum of its proper divisors (131150003040).

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

38341084320 is a wasteful number, since it uses less digits than its factorization.

38341084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 38341084320 in words is "thirty-eight billion, three hundred forty-one million, eighty-four thousand, three hundred twenty".