38380106809728 has 768 divisors, whose sum is σ = 115708194201600. Its totient is φ = 12204313804800.

The previous prime is 38380106809721. The next prime is 38380106809799. The reversal of 38380106809728 is 82790860108383.

38380106809728 is a `hidden beast` number, since 3 + 8 + 380 + 106 + 80 + 9 + 72 + 8 = 666.

It is a super-2 number, since 2×38380106809728² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38380106809721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141624010233 + ... + 141624010503.

It is an arithmetic number, because the mean of its divisors is an integer number (150661711200).

Almost surely, 2^{38380106809728} 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 38380106809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57854097100800).

38380106809728 is an abundant number, since it is smaller than the sum of its proper divisors (77328087391872).

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

38380106809728 is a wasteful number, since it uses less digits than its factorization.

38380106809728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 38380106809728 in words is "thirty-eight trillion, three hundred eighty billion, one hundred six million, eight hundred nine thousand, seven hundred twenty-eight".