34007774334107 has 32 divisors (see below), whose sum is σ = 41232177543168. Its totient is φ = 27381582475776.

The previous prime is 34007774334103. The next prime is 34007774334133. The reversal of 34007774334107 is 70143347770043.

It is a cyclic number.

It is not a de Polignac number, because 34007774334107 - 2² = 34007774334103 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34007774334103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504181058 + ... + 504248504.

It is an arithmetic number, because the mean of its divisors is an integer number (1288505548224).

Almost surely, 2^{34007774334107} is an apocalyptic number.

34007774334107 is a deficient number, since it is larger than the sum of its proper divisors (7224403209061).

34007774334107 is a wasteful number, since it uses less digits than its factorization.

34007774334107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75635.

The product of its (nonzero) digits is 4148928, while the sum is 50.

The spelling of 34007774334107 in words is "thirty-four trillion, seven billion, seven hundred seventy-four million, three hundred thirty-four thousand, one hundred seven".