34309041529 has 27 divisors (see below), whose sum is σ = 40850302917. Its totient is φ = 28730930424.

The previous prime is 34309041479. The next prime is 34309041553. The reversal of 34309041529 is 92514090343.

The square root of 34309041529 is 185227.

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

It is not a de Polignac number, because 34309041529 - 2¹⁵ = 34309008761 is a prime.

It is a super-2 number, since 2×34309041529² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34309041491 and 34309041500.

It is not an unprimeable number, because it can be changed into a prime (34309041829) 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, 60939402 + ... + 60939964.

Almost surely, 2^34309041529 is an apocalyptic number.

34309041529 is the 185227-th square number.

34309041529 is the 92614-th centered octagonal number.

It is an amenable number.

34309041529 is a deficient number, since it is larger than the sum of its proper divisors (6541261388).

34309041529 is an frugal number, since it uses more digits than its factorization.

34309041529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 34309041529 in words is "thirty-four billion, three hundred nine million, forty-one thousand, five hundred twenty-nine".