39271712768 has 108 divisors (see below), whose sum is σ = 81867497985. Its totient is φ = 18833203200.

The previous prime is 39271712759. The next prime is 39271712849. The reversal of 39271712768 is 86721717293.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 39248364544 + 23348224 = 198112^2 + 4832^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=140128.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 260077493 + ... + 260077643.

Almost surely, 2^39271712768 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 39271712768

39271712768 is an abundant number, since it is smaller than the sum of its proper divisors (42595785217).

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

39271712768 is an frugal number, since it uses more digits than its factorization.

39271712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 182 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 53.

The spelling of 39271712768 in words is "thirty-nine billion, two hundred seventy-one million, seven hundred twelve thousand, seven hundred sixty-eight".