34697577916225 has 243 divisors, whose sum is σ = 53175168043803. Its totient is φ = 22393191744000.

The previous prime is 34697577916223. The next prime is 34697577916229. The reversal of 34697577916225 is 52261977579643.

The square root of 34697577916225 is 5890465.

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

It can be written as a sum of positive squares in 13 ways, for example, as 31815025911361 + 2882552004864 = 5640481^2 + 1697808^2 .

It is not a de Polignac number, because 34697577916225 - 2¹ = 34697577916223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34697577916223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 389860425981 + ... + 389860426069.

Almost surely, 2^{34697577916225} is an apocalyptic number.

34697577916225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34697577916225 is the 5890465-th square number.

34697577916225 is the 2945233-rd centered octagonal number.

It is an amenable number.

34697577916225 is a deficient number, since it is larger than the sum of its proper divisors (18477590127578).

34697577916225 is an frugal number, since it uses more digits than its factorization.

34697577916225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its digits is 1200225600, while the sum is 73.

The spelling of 34697577916225 in words is "thirty-four trillion, six hundred ninety-seven billion, five hundred seventy-seven million, nine hundred sixteen thousand, two hundred twenty-five".