34066345345 has 8 divisors (see below), whose sum is σ = 41439609576. Its totient is φ = 26879746176.

The previous prime is 34066345331. The next prime is 34066345363. The reversal of 34066345345 is 54354366043.

It can be written as a sum of positive squares in 4 ways, for example, as 1851839089 + 32214506256 = 43033^2 + 179484^2 .

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 34066345345 - 2⁷ = 34066345217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46665862 + ... + 46666591.

It is an arithmetic number, because the mean of its divisors is an integer number (5179951197).

Almost surely, 2^34066345345 is an apocalyptic number.

It is an amenable number.

34066345345 is a deficient number, since it is larger than the sum of its proper divisors (7373264231).

34066345345 is an equidigital number, since it uses as much as digits as its factorization.

34066345345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93332531.

The product of its (nonzero) digits is 1555200, while the sum is 43.

The spelling of 34066345345 in words is "thirty-four billion, sixty-six million, three hundred forty-five thousand, three hundred forty-five".