34823665321 has 9 divisors (see below), whose sum is σ = 35051121399. Its totient is φ = 34597679400.

The previous prime is 34823665267. The next prime is 34823665381. The reversal of 34823665321 is 12356632843.

The square root of 34823665321 is 186611.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 383728921 + 34439936400 = 19589^2 + 185580^2 .

It is not a de Polignac number, because 34823665321 - 2¹⁵ = 34823632553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34823665381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33776076 + ... + 33777106.

Almost surely, 2^34823665321 is an apocalyptic number.

34823665321 is the 186611-st square number.

34823665321 is the 93306-th centered octagonal number.

It is an amenable number.

34823665321 is a deficient number, since it is larger than the sum of its proper divisors (227456078).

34823665321 is an frugal number, since it uses more digits than its factorization.

34823665321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 1212 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The spelling of 34823665321 in words is "thirty-four billion, eight hundred twenty-three million, six hundred sixty-five thousand, three hundred twenty-one".