34506807551029 has 16 divisors (see below), whose sum is σ = 38269009287360. Its totient is φ = 30849026976000.

The previous prime is 34506807551023. The next prime is 34506807551033. The reversal of 34506807551029 is 92015570860543.

It is a cyclic number.

It is not a de Polignac number, because 34506807551029 - 2⁹ = 34506807550517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34506807551023) 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, 2278719 + ... + 8614300.

It is an arithmetic number, because the mean of its divisors is an integer number (2391813080460).

It is a 1-persistent number, because it is pandigital, but 2⋅34506807551029 = 69013615102058 is not.

Almost surely, 2^{34506807551029} is an apocalyptic number.

It is an amenable number.

34506807551029 is a deficient number, since it is larger than the sum of its proper divisors (3762201736331).

34506807551029 is a wasteful number, since it uses less digits than its factorization.

34506807551029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10897812.

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 34506807551029 in words is "thirty-four trillion, five hundred six billion, eight hundred seven million, five hundred fifty-one thousand, twenty-nine".