38282531194224 has 400 divisors, whose sum is σ = 114894707220480. Its totient is φ = 12293219612160.

The previous prime is 38282531194217. The next prime is 38282531194247. The reversal of 38282531194224 is 42249113528283.

It is a happy number.

38282531194224 is a `hidden beast` number, since 3 + 8 + 2 + 82 + 531 + 1 + 9 + 4 + 2 + 24 = 666.

It is a super-2 number, since 2×38282531194224² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9276114049 + ... + 9276118175.

Almost surely, 2^{38282531194224} 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 38282531194224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57447353610240).

38282531194224 is an abundant number, since it is smaller than the sum of its proper divisors (76612176026256).

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

38282531194224 is a wasteful number, since it uses less digits than its factorization.

38282531194224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5155 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 38282531194224 in words is "thirty-eight trillion, two hundred eighty-two billion, five hundred thirty-one million, one hundred ninety-four thousand, two hundred twenty-four".