34329790089 has 135 divisors (see below), whose sum is σ = 63739460037. Its totient is φ = 18356357376.

The previous prime is 34329790043. The next prime is 34329790129. The reversal of 34329790089 is 98009792343.

The square root of 34329790089 is 185283.

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

34329790089 is a `hidden beast` number, since 343 + 297 + 9 + 0 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16826500089 + 17503290000 = 129717^2 + 132300^2 .

It is not a de Polignac number, because 34329790089 - 2¹⁵ = 34329757321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34329790289) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 198438007 + ... + 198438179.

Almost surely, 2^34329790089 is an apocalyptic number.

34329790089 is the 185283-rd square number.

34329790089 is the 92642-nd centered octagonal number.

It is an amenable number.

34329790089 is a deficient number, since it is larger than the sum of its proper divisors (29409669948).

34329790089 is an equidigital number, since it uses as much as digits as its factorization.

34329790089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 34329790089 in words is "thirty-four billion, three hundred twenty-nine million, seven hundred ninety thousand, eighty-nine".