34530187329 has 45 divisors (see below), whose sum is σ = 56727937651. Its totient is φ = 20916236880.

The previous prime is 34530187319. The next prime is 34530187369. The reversal of 34530187329 is 92378103543.

The square root of 34530187329 is 185823.

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

34530187329 is a `hidden beast` number, since 3 + 4 + 530 + 1 + 87 + 32 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21613410225 + 12916777104 = 147015^2 + 113652^2 .

It is not a de Polignac number, because 34530187329 - 2⁵ = 34530187297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34530187319) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 18395539 + ... + 18397415.

Almost surely, 2^34530187329 is an apocalyptic number.

34530187329 is the 185823-rd square number.

34530187329 is the 92912-nd centered octagonal number.

It is an amenable number.

34530187329 is a deficient number, since it is larger than the sum of its proper divisors (22197750322).

34530187329 is an frugal number, since it uses more digits than its factorization.

34530187329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 34530187329 in words is "thirty-four billion, five hundred thirty million, one hundred eighty-seven thousand, three hundred twenty-nine".