38438828064 has 288 divisors, whose sum is σ = 134804202624. Its totient is φ = 10117509120.

The previous prime is 38438828033. The next prime is 38438828069. The reversal of 38438828064 is 46082883483.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 38438828064.

It is not an unprimeable number, because it can be changed into a prime (38438828069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16850604 + ... + 16852884.

It is an arithmetic number, because the mean of its divisors is an integer number (468070148).

Almost surely, 2^38438828064 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 38438828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67402101312).

38438828064 is an abundant number, since it is smaller than the sum of its proper divisors (96365374560).

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

38438828064 is a wasteful number, since it uses less digits than its factorization.

38438828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 38438828064 in words is "thirty-eight billion, four hundred thirty-eight million, eight hundred twenty-eight thousand, sixty-four".