38141764128 has 432 divisors, whose sum is σ = 128457778176. Its totient is φ = 10682081280.

The previous prime is 38141764127. The next prime is 38141764147. The reversal of 38141764128 is 82146714183.

It is not an unprimeable number, because it can be changed into a prime (38141764121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25649401 + ... + 25650887.

It is an arithmetic number, because the mean of its divisors is an integer number (297355968).

Almost surely, 2^38141764128 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 38141764128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64228889088).

38141764128 is an abundant number, since it is smaller than the sum of its proper divisors (90316014048).

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

38141764128 is a wasteful number, since it uses less digits than its factorization.

38141764128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1553 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 38141764128 in words is "thirty-eight billion, one hundred forty-one million, seven hundred sixty-four thousand, one hundred twenty-eight".