345640009729 has 32 divisors (see below), whose sum is σ = 398990592000. Its totient is φ = 293302373760.

The previous prime is 345640009717. The next prime is 345640009733. The reversal of 345640009729 is 927900046543.

It is a cyclic number.

It is not a de Polignac number, because 345640009729 - 2¹³ = 345640001537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345640009789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403313469 + ... + 403314325.

It is an arithmetic number, because the mean of its divisors is an integer number (12468456000).

It is a Proth number, since it is equal to 82407 ⋅ 2²² + 1 and 82407 < 2²².

Almost surely, 2^345640009729 is an apocalyptic number.

It is an amenable number.

345640009729 is a deficient number, since it is larger than the sum of its proper divisors (53350582271).

345640009729 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (345640009728) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2173).

345640009729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173.

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 345640009729 in words is "three hundred forty-five billion, six hundred forty million, nine thousand, seven hundred twenty-nine".