34166345645 has 8 divisors (see below), whose sum is σ = 41001130104. Its totient is φ = 27332066304.

The previous prime is 34166345641. The next prime is 34166345671. The reversal of 34166345645 is 54654366143.

It can be written as a sum of positive squares in 4 ways, for example, as 1588261609 + 32578084036 = 39853^2 + 180494^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34166345645 - 2² = 34166345641 is a prime.

It is a super-3 number, since 3×34166345645³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 34166345645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34166345641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43217 + ... + 264953.

It is an arithmetic number, because the mean of its divisors is an integer number (5125141263).

Almost surely, 2^34166345645 is an apocalyptic number.

It is an amenable number.

34166345645 is a deficient number, since it is larger than the sum of its proper divisors (6834784459).

34166345645 is a wasteful number, since it uses less digits than its factorization.

34166345645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252559.

The product of its digits is 3110400, while the sum is 47.

The spelling of 34166345645 in words is "thirty-four billion, one hundred sixty-six million, three hundred forty-five thousand, six hundred forty-five".