34090675869601 has 8 divisors (see below), whose sum is σ = 36716407275240. Its totient is φ = 31465426138752.

The previous prime is 34090675869599. The next prime is 34090675869623. The reversal of 34090675869601 is 10696857609043.

It can be written as a sum of positive squares in 4 ways, for example, as 1998090000 + 34088677779601 = 44700^2 + 5838551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34090675869601 - 2¹ = 34090675869599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34090675869671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120271690 + ... + 120554803.

It is an arithmetic number, because the mean of its divisors is an integer number (4589550909405).

Almost surely, 2^{34090675869601} is an apocalyptic number.

It is an amenable number.

34090675869601 is a deficient number, since it is larger than the sum of its proper divisors (2625731405639).

34090675869601 is a wasteful number, since it uses less digits than its factorization.

34090675869601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240837395.

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 34090675869601 in words is "thirty-four trillion, ninety billion, six hundred seventy-five million, eight hundred sixty-nine thousand, six hundred one".