38575131284928 has 224 divisors, whose sum is σ = 120720681543168. Its totient is φ = 10641796300800.

The previous prime is 38575131284923. The next prime is 38575131284929. The reversal of 38575131284928 is 82948213157583.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38575131284923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1736623 + ... + 8953553.

It is an arithmetic number, because the mean of its divisors is an integer number (538931614032).

Almost surely, 2^{38575131284928} 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 38575131284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60360340771584).

38575131284928 is an abundant number, since it is smaller than the sum of its proper divisors (82145550258240).

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

38575131284928 is a wasteful number, since it uses less digits than its factorization.

38575131284928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217091 (or 7217081 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 66.

The spelling of 38575131284928 in words is "thirty-eight trillion, five hundred seventy-five billion, one hundred thirty-one million, two hundred eighty-four thousand, nine hundred twenty-eight".