38028650010624 has 4320 divisors, whose sum is σ = 158776576358400. Its totient is φ = 8999516897280.

The previous prime is 38028650010581. The next prime is 38028650010679. The reversal of 38028650010624 is 42601005682083.

38028650010624 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 8 + 6 + 5 + 0 + 0 + 10 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38028650010624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 809120212969 + ... + 809120213015.

It is an arithmetic number, because the mean of its divisors is an integer number (36753837120).

Almost surely, 2^{38028650010624} 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 38028650010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79388288179200).

38028650010624 is an abundant number, since it is smaller than the sum of its proper divisors (120747926347776).

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

38028650010624 is a wasteful number, since it uses less digits than its factorization.

38028650010624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38028650010624 in words is "thirty-eight trillion, twenty-eight billion, six hundred fifty million, ten thousand, six hundred twenty-four".