34022765817 has 12 divisors (see below), whose sum is σ = 49154829204. Its totient is φ = 22676843520.

The previous prime is 34022765813. The next prime is 34022765827. The reversal of 34022765817 is 71856722043.

34022765817 is a `hidden beast` number, since 3 + 40 + 2 + 27 + 6 + 581 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6383370816 + 27639395001 = 79896^2 + 166251^2 .

It is not a de Polignac number, because 34022765817 - 2² = 34022765813 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34022765813) 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 11 ways as a sum of consecutive naturals, for example, 373368 + ... + 455465.

It is an arithmetic number, because the mean of its divisors is an integer number (4096235767).

Almost surely, 2^34022765817 is an apocalyptic number.

It is an amenable number.

34022765817 is a deficient number, since it is larger than the sum of its proper divisors (15132063387).

34022765817 is a wasteful number, since it uses less digits than its factorization.

34022765817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833400 (or 833397 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 34022765817 in words is "thirty-four billion, twenty-two million, seven hundred sixty-five thousand, eight hundred seventeen".