34735029004605 has 64 divisors (see below), whose sum is σ = 58553045268480. Its totient is φ = 17534752992000.

The previous prime is 34735029004597. The next prime is 34735029004609. The reversal of 34735029004605 is 50640092053743.

It is not a de Polignac number, because 34735029004605 - 2³ = 34735029004597 is a prime.

It is a super-2 number, since 2×34735029004605² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34735029004609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3261193530 + ... + 3261204180.

It is an arithmetic number, because the mean of its divisors is an integer number (914891332320).

Almost surely, 2^{34735029004605} is an apocalyptic number.

It is an amenable number.

34735029004605 is a deficient number, since it is larger than the sum of its proper divisors (23818016263875).

34735029004605 is a wasteful number, since it uses less digits than its factorization.

34735029004605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19762.

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 34735029004605 in words is "thirty-four trillion, seven hundred thirty-five billion, twenty-nine million, four thousand, six hundred five".