38798935516224 has 840 divisors, whose sum is σ = 132261106206240. Its totient is φ = 11209180889088.

The previous prime is 38798935516223. The next prime is 38798935516267. The reversal of 38798935516224 is 42261553989783.

38798935516224 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 8 + 9 + 3 + 551 + 62 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (38798935516223) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1880967799 + ... + 1880988425.

Almost surely, 2^{38798935516224} 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 38798935516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66130553103120).

38798935516224 is an abundant number, since it is smaller than the sum of its proper divisors (93462170690016).

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

38798935516224 is a wasteful number, since it uses less digits than its factorization.

38798935516224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20809 (or 20777 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 38798935516224 in words is "thirty-eight trillion, seven hundred ninety-eight billion, nine hundred thirty-five million, five hundred sixteen thousand, two hundred twenty-four".