38335084320 has 384 divisors, whose sum is σ = 141430012416. Its totient is φ = 8640331776.

The previous prime is 38335084309. The next prime is 38335084321. The reversal of 38335084320 is 2348053383.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (38335084321) 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 63 ways as a sum of consecutive naturals, for example, 3920077 + ... + 3929843.

It is an arithmetic number, because the mean of its divisors is an integer number (368307324).

Almost surely, 2^38335084320 is an apocalyptic number.

38335084320 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 38335084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70715006208).

38335084320 is an abundant number, since it is smaller than the sum of its proper divisors (103094928096).

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

38335084320 is a wasteful number, since it uses less digits than its factorization.

38335084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9852 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 38335084320 in words is "thirty-eight billion, three hundred thirty-five million, eighty-four thousand, three hundred twenty".