34932414433225 has 9 divisors (see below), whose sum is σ = 43316230541493. Its totient is φ = 27945907905120.

The previous prime is 34932414433211. The next prime is 34932414433247. The reversal of 34932414433225 is 52233441423943.

It is a happy number.

The square root of 34932414433225 is 5910365.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18376337018169 + 16556077415056 = 4286763^2 + 4068916^2 .

It is not a de Polignac number, because 34932414433225 - 2⁵ = 34932414433193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28960789 + ... + 30142861.

Almost surely, 2^{34932414433225} is an apocalyptic number.

34932414433225 is the 5910365-th square number.

34932414433225 is the 2955183-rd centered octagonal number.

It is an amenable number.

34932414433225 is a deficient number, since it is larger than the sum of its proper divisors (8383816108268).

34932414433225 is an frugal number, since it uses more digits than its factorization.

34932414433225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364156 (or 1182078 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 49.

The spelling of 34932414433225 in words is "thirty-four trillion, nine hundred thirty-two billion, four hundred fourteen million, four hundred thirty-three thousand, two hundred twenty-five".