39834224768 has 216 divisors, whose sum is σ = 91378143045. Its totient is φ = 17287615488.

The previous prime is 39834224723. The next prime is 39834224809. The reversal of 39834224768 is 86742243893.

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 34059440704 + 5774784064 = 184552^2 + 75992^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=141128.

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 26 ways as a sum of consecutive naturals, for example, 675156323 + ... + 675156381.

Almost surely, 2^39834224768 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 39834224768

39834224768 is an abundant number, since it is smaller than the sum of its proper divisors (51543918277).

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

39834224768 is an equidigital number, since it uses as much as digits as its factorization.

39834224768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 97 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 56.

The spelling of 39834224768 in words is "thirty-nine billion, eight hundred thirty-four million, two hundred twenty-four thousand, seven hundred sixty-eight".