34682730289 has 27 divisors (see below), whose sum is σ = 36615312747. Its totient is φ = 32851501200.

The previous prime is 34682730241. The next prime is 34682730307. The reversal of 34682730289 is 98203728643.

The square root of 34682730289 is 186233.

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., 1127817889 + 33554912400 = 33583^2 + 183180^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34682730289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34682730389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 488489124 + ... + 488489194.

Almost surely, 2^34682730289 is an apocalyptic number.

34682730289 is the 186233-rd square number.

34682730289 is the 93117-th centered octagonal number.

It is an amenable number.

34682730289 is a deficient number, since it is larger than the sum of its proper divisors (1932582458).

34682730289 is an frugal number, since it uses more digits than its factorization.

34682730289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 34682730289 in words is "thirty-four billion, six hundred eighty-two million, seven hundred thirty thousand, two hundred eighty-nine".