38586350323136 has 336 divisors, whose sum is σ = 98288379829248. Its totient is φ = 14705540720640.

The previous prime is 38586350323127. The next prime is 38586350323139. The reversal of 38586350323136 is 63132305368583.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38586350323139) 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 47 ways as a sum of consecutive naturals, for example, 6514660271 + ... + 6514666193.

It is an arithmetic number, because the mean of its divisors is an integer number (292524939968).

Almost surely, 2^{38586350323136} 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 38586350323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49144189914624).

38586350323136 is an abundant number, since it is smaller than the sum of its proper divisors (59702029506112).

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

38586350323136 is a wasteful number, since it uses less digits than its factorization.

38586350323136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 56.

The spelling of 38586350323136 in words is "thirty-eight trillion, five hundred eighty-six billion, three hundred fifty million, three hundred twenty-three thousand, one hundred thirty-six".