34000314561 has 12 divisors (see below), whose sum is σ = 49133125860. Its totient is φ = 22656925440.

The previous prime is 34000314553. The next prime is 34000314563. The reversal of 34000314561 is 16541300043.

34000314561 is a `hidden beast` number, since 340 + 0 + 0 + 314 + 5 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21697290000 + 12303024561 = 147300^2 + 110919^2 .

It is not a de Polignac number, because 34000314561 - 2³ = 34000314553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34000314563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807576 + ... + 848633.

It is an arithmetic number, because the mean of its divisors is an integer number (4094427155).

Almost surely, 2^34000314561 is an apocalyptic number.

It is an amenable number.

34000314561 is a deficient number, since it is larger than the sum of its proper divisors (15132811299).

34000314561 is a wasteful number, since it uses less digits than its factorization.

34000314561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658496 (or 1658493 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 34000314561 in words is "thirty-four billion, three hundred fourteen thousand, five hundred sixty-one".