38709063431808 has 512 divisors, whose sum is σ = 133241898240000. Its totient is φ = 9661549363200.

The previous prime is 38709063431803. The next prime is 38709063431809. The reversal of 38709063431808 is 80813436090783.

38709063431808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38709063431808² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38709063431803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180819618 + ... + 181033566.

It is an arithmetic number, because the mean of its divisors is an integer number (260238082500).

Almost surely, 2^{38709063431808} 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 38709063431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66620949120000).

38709063431808 is an abundant number, since it is smaller than the sum of its proper divisors (94532834808192).

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

38709063431808 is a wasteful number, since it uses less digits than its factorization.

38709063431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214224 (or 214212 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 38709063431808 in words is "thirty-eight trillion, seven hundred nine billion, sixty-three million, four hundred thirty-one thousand, eight hundred eight".