34641088207609 has 16 divisors (see below), whose sum is σ = 38990051467920. Its totient is φ = 30555468840960.

The previous prime is 34641088207601. The next prime is 34641088207619. The reversal of 34641088207609 is 90670288014643.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 157509765625 + 34483578441984 = 396875^2 + 5872272^2 .

It is a cyclic number.

It is not a de Polignac number, because 34641088207609 - 2³ = 34641088207601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34641088207601) 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 15 ways as a sum of consecutive naturals, for example, 473603512 + ... + 473676649.

It is an arithmetic number, because the mean of its divisors is an integer number (2436878216745).

Almost surely, 2^{34641088207609} is an apocalyptic number.

It is an amenable number.

34641088207609 is a deficient number, since it is larger than the sum of its proper divisors (4348963260311).

34641088207609 is a wasteful number, since it uses less digits than its factorization.

34641088207609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947280300.

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 34641088207609 in words is "thirty-four trillion, six hundred forty-one billion, eighty-eight million, two hundred seven thousand, six hundred nine".