34874068052329 has 9 divisors (see below), whose sum is σ = 38332724715831. Its totient is φ = 31703639175120.

The previous prime is 34874068052279. The next prime is 34874068052339. The reversal of 34874068052329 is 92325086047843.

The square root of 34874068052329 is 5905427.

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., 22578890475625 + 12295177576704 = 4751725^2 + 3506448^2 .

It is not a de Polignac number, because 34874068052329 - 2¹⁷ = 34874067921257 is a prime.

It is a super-2 number, since 2×34874068052329² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34874068052339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64691269 + ... + 65228125.

Almost surely, 2^{34874068052329} is an apocalyptic number.

34874068052329 is the 5905427-th square number.

34874068052329 is the 2952714-th centered octagonal number.

It is an amenable number.

34874068052329 is a deficient number, since it is larger than the sum of its proper divisors (3458656663502).

34874068052329 is an frugal number, since it uses more digits than its factorization.

34874068052329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073736 (or 536868 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 61.

The spelling of 34874068052329 in words is "thirty-four trillion, eight hundred seventy-four billion, sixty-eight million, fifty-two thousand, three hundred twenty-nine".