34044434102429 has 16 divisors (see below), whose sum is σ = 34616655735984. Its totient is φ = 33472671206400.

The previous prime is 34044434102411. The next prime is 34044434102431. The reversal of 34044434102429 is 92420143444043.

It can be written as a sum of positive squares in 8 ways, for example, as 756207638404 + 33288226464025 = 869602^2 + 5769595^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34044434102429 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34044434102429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34044434102929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2094647267 + ... + 2094663519.

It is an arithmetic number, because the mean of its divisors is an integer number (2163540983499).

Almost surely, 2^{34044434102429} is an apocalyptic number.

It is an amenable number.

34044434102429 is a deficient number, since it is larger than the sum of its proper divisors (572221633555).

34044434102429 is a wasteful number, since it uses less digits than its factorization.

34044434102429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28208.

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 34044434102429 in words is "thirty-four trillion, forty-four billion, four hundred thirty-four million, one hundred two thousand, four hundred twenty-nine".