34026144345 has 24 divisors (see below), whose sum is σ = 59945518152. Its totient is φ = 17849779200.

The previous prime is 34026144331. The next prime is 34026144413. The reversal of 34026144345 is 54344162043.

34026144345 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 614 + 4 + 34 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 861363801 + 33164780544 = 29349^2 + 182112^2 .

It is not a de Polignac number, because 34026144345 - 2¹⁰ = 34026143321 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6195096 + ... + 6200585.

It is an arithmetic number, because the mean of its divisors is an integer number (2497729923).

Almost surely, 2^34026144345 is an apocalyptic number.

It is an amenable number.

34026144345 is a deficient number, since it is larger than the sum of its proper divisors (25919373807).

34026144345 is a wasteful number, since it uses less digits than its factorization.

34026144345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12395753 (or 12395750 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34026144345 in words is "thirty-four billion, twenty-six million, one hundred forty-four thousand, three hundred forty-five".