38293131688576 has 64 divisors (see below), whose sum is σ = 76814571525120. Its totient is φ = 19014609590272.

The previous prime is 38293131688573. The next prime is 38293131688579. The reversal of 38293131688576 is 67588613139283.

It is an interprime number because it is at equal distance from previous prime (38293131688573) and next prime (38293131688579).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (38293131688573) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9746391 + ... + 13098793.

It is an arithmetic number, because the mean of its divisors is an integer number (1200227680080).

Almost surely, 2^{38293131688576} 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 38293131688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38407285762560).

38293131688576 is an abundant number, since it is smaller than the sum of its proper divisors (38521439836544).

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

38293131688576 is a wasteful number, since it uses less digits than its factorization.

38293131688576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353033 (or 3353021 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 70.

The spelling of 38293131688576 in words is "thirty-eight trillion, two hundred ninety-three billion, one hundred thirty-one million, six hundred eighty-eight thousand, five hundred seventy-six".