34000126623 has 16 divisors (see below), whose sum is σ = 50381510400. Its totient is φ = 22661822520.

The previous prime is 34000126609. The next prime is 34000126627. The reversal of 34000126623 is 32662100043.

34000126623 is a `hidden beast` number, since 34 + 0 + 0 + 0 + 1 + 2 + 6 + 623 = 666.

It is not a de Polignac number, because 34000126623 - 2⁸ = 34000126367 is a prime.

It is a super-2 number, since 2×34000126623² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000126627) 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 15 ways as a sum of consecutive naturals, for example, 8233 + ... + 260898.

It is an arithmetic number, because the mean of its divisors is an integer number (3148844400).

Almost surely, 2^34000126623 is an apocalyptic number.

34000126623 is a deficient number, since it is larger than the sum of its proper divisors (16381383777).

34000126623 is a wasteful number, since it uses less digits than its factorization.

34000126623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273819 (or 273813 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34000126623 its reverse (32662100043), we get a palindrome (66662226666).

The spelling of 34000126623 in words is "thirty-four billion, one hundred twenty-six thousand, six hundred twenty-three".