34012077633 has 20 divisors (see below), whose sum is σ = 53796883140. Its totient is φ = 21340910592.

The previous prime is 34012077571. The next prime is 34012077661. The reversal of 34012077633 is 33677021043.

34012077633 is a `hidden beast` number, since 3 + 4 + 0 + 12 + 0 + 7 + 7 + 633 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11063463489 + 22948614144 = 105183^2 + 151488^2 .

It is not a de Polignac number, because 34012077633 - 2¹⁴ = 34012061249 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34012077133) 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 19 ways as a sum of consecutive naturals, for example, 12348688 + ... + 12351441.

It is an arithmetic number, because the mean of its divisors is an integer number (2689844157).

Almost surely, 2^34012077633 is an apocalyptic number.

It is an amenable number.

34012077633 is a deficient number, since it is larger than the sum of its proper divisors (19784805507).

34012077633 is a wasteful number, since it uses less digits than its factorization.

34012077633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24700158 (or 24700149 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

Adding to 34012077633 its reverse (33677021043), we get a palindrome (67689098676).

The spelling of 34012077633 in words is "thirty-four billion, twelve million, seventy-seven thousand, six hundred thirty-three".