34065305541 has 8 divisors (see below), whose sum is σ = 50467119360. Its totient is φ = 22710203676.

The previous prime is 34065305509. The next prime is 34065305557. The reversal of 34065305541 is 14550356043.

34065305541 is a `hidden beast` number, since 3 + 40 + 65 + 3 + 0 + 554 + 1 = 666.

It is not a de Polignac number, because 34065305541 - 2⁵ = 34065305509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34065305496 and 34065305505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34065305591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630838965 + ... + 630839018.

It is an arithmetic number, because the mean of its divisors is an integer number (6308389920).

Almost surely, 2^34065305541 is an apocalyptic number.

It is an amenable number.

34065305541 is a deficient number, since it is larger than the sum of its proper divisors (16401813819).

34065305541 is a wasteful number, since it uses less digits than its factorization.

34065305541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261677992 (or 1261677986 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 34065305541 in words is "thirty-four billion, sixty-five million, three hundred five thousand, five hundred forty-one".