34083264033 has 72 divisors (see below), whose sum is σ = 61727416296. Its totient is φ = 17962560000.

The previous prime is 34083264031. The next prime is 34083264037. The reversal of 34083264033 is 33046238043.

34083264033 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 3 + 2 + 640 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 949071249 + 33134192784 = 30807^2 + 182028^2 .

It is not a de Polignac number, because 34083264033 - 2¹ = 34083264031 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34083264031) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10323483 + ... + 10326783.

Almost surely, 2^34083264033 is an apocalyptic number.

It is an amenable number.

34083264033 is a deficient number, since it is larger than the sum of its proper divisors (27644152263).

34083264033 is a wasteful number, since it uses less digits than its factorization.

34083264033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

It can be divided in two parts, 34083 and 264033, that added together give a square (298116 = 546²).

The spelling of 34083264033 in words is "thirty-four billion, eighty-three million, two hundred sixty-four thousand, thirty-three".