34717844074225 has 135 divisors (see below), whose sum is σ = 49355790701607. Its totient is φ = 24222254022720.

The previous prime is 34717844074223. The next prime is 34717844074231. The reversal of 34717844074225 is 52247044871743.

The square root of 34717844074225 is 5892185.

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

It can be written as a sum of positive squares in 7 ways, for example, as 34063576632801 + 654267441424 = 5836401^2 + 808868^2 .

It is not a de Polignac number, because 34717844074225 - 2¹ = 34717844074223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34717844074225.

It is not an unprimeable number, because it can be changed into a prime (34717844074223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 94599029992 + ... + 94599030358.

Almost surely, 2^{34717844074225} is an apocalyptic number.

34717844074225 is the 5892185-th square number.

34717844074225 is the 2946093-rd centered octagonal number.

It is an amenable number.

34717844074225 is a deficient number, since it is larger than the sum of its proper divisors (14637946627382).

34717844074225 is an frugal number, since it uses more digits than its factorization.

34717844074225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 58.

It can be divided in two parts, 3471784 and 4074225, that added together give a square (7546009 = 2747²).

The spelling of 34717844074225 in words is "thirty-four trillion, seven hundred seventeen billion, eight hundred forty-four million, seventy-four thousand, two hundred twenty-five".