34106166361 has 8 divisors (see below), whose sum is σ = 34522284384. Its totient is φ = 33690172320.

The previous prime is 34106166349. The next prime is 34106166373. The reversal of 34106166361 is 16366160143.

It is an interprime number because it is at equal distance from previous prime (34106166349) and next prime (34106166373).

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 34106166361 - 2¹³ = 34106158169 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 34106166361.

It is not an unprimeable number, because it can be changed into a prime (34106161361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600390 + ... + 654736.

It is an arithmetic number, because the mean of its divisors is an integer number (4315285548).

Almost surely, 2^34106166361 is an apocalyptic number.

It is an amenable number.

34106166361 is a deficient number, since it is larger than the sum of its proper divisors (416118023).

34106166361 is an equidigital number, since it uses as much as digits as its factorization.

34106166361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61991.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 34106166361 in words is "thirty-four billion, one hundred six million, one hundred sixty-six thousand, three hundred sixty-one".