38142325936176 has 640 divisors, whose sum is σ = 128127113625600. Its totient is φ = 9690236236800.

The previous prime is 38142325936111. The next prime is 38142325936177. The reversal of 38142325936176 is 67163952324183.

It is not an unprimeable number, because it can be changed into a prime (38142325936177) 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 127 ways as a sum of consecutive naturals, for example, 1633003090 + ... + 1633026446.

It is an arithmetic number, because the mean of its divisors is an integer number (200198615040).

Almost surely, 2^{38142325936176} 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 38142325936176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64063556812800).

38142325936176 is an abundant number, since it is smaller than the sum of its proper divisors (89984787689424).

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

38142325936176 is a wasteful number, since it uses less digits than its factorization.

38142325936176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23598 (or 23578 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 60.

The spelling of 38142325936176 in words is "thirty-eight trillion, one hundred forty-two billion, three hundred twenty-five million, nine hundred thirty-six thousand, one hundred seventy-six".