34071622225 has 81 divisors (see below), whose sum is σ = 46879595217. Its totient is φ = 24560141760.

The previous prime is 34071622183. The next prime is 34071622237. The reversal of 34071622225 is 52222617043.

The square root of 34071622225 is 184585.

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 468332881 + 33603289344 = 21641^2 + 183312^2 .

It is not a de Polignac number, because 34071622225 - 2⁷ = 34071622097 is a prime.

It is a super-2 number, since 2×34071622225² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 508531642 + ... + 508531708.

Almost surely, 2^34071622225 is an apocalyptic number.

34071622225 is the 184585-th square number.

34071622225 is the 92293-rd centered octagonal number.

It is an amenable number.

34071622225 is a deficient number, since it is larger than the sum of its proper divisors (12807972992).

34071622225 is an equidigital number, since it uses as much as digits as its factorization.

34071622225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 34071622225 in words is "thirty-four billion, seventy-one million, six hundred twenty-two thousand, two hundred twenty-five".