34021300033305 has 96 divisors (see below), whose sum is σ = 67041525882240. Its totient is φ = 15821694904320.

The previous prime is 34021300033223. The next prime is 34021300033313. The reversal of 34021300033305 is 50333000312043.

It is a happy number.

34021300033305 is a `hidden beast` number, since 3 + 4 + 0 + 21 + 300 + 0 + 3 + 330 + 5 = 666.

It is not a de Polignac number, because 34021300033305 - 2¹⁰ = 34021300032281 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 553536 + ... + 8267345.

It is an arithmetic number, because the mean of its divisors is an integer number (698349227940).

Almost surely, 2^{34021300033305} is an apocalyptic number.

It is an amenable number.

34021300033305 is a deficient number, since it is larger than the sum of its proper divisors (33020225848935).

34021300033305 is a wasteful number, since it uses less digits than its factorization.

34021300033305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821271 (or 8821268 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 34021300033305 its reverse (50333000312043), we get a palindrome (84354300345348).

The spelling of 34021300033305 in words is "thirty-four trillion, twenty-one billion, three hundred million, thirty-three thousand, three hundred five".