34106312361 has 16 divisors (see below), whose sum is σ = 50100366528. Its totient is φ = 20465832000.

The previous prime is 34106312353. The next prime is 34106312371. The reversal of 34106312361 is 16321360143.

It is not a de Polignac number, because 34106312361 - 2³ = 34106312353 is a prime.

It is a super-2 number, since 2×34106312361² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34106312371) 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, 5113126 + ... + 5119791.

It is an arithmetic number, because the mean of its divisors is an integer number (3131272908).

Almost surely, 2^34106312361 is an apocalyptic number.

It is an amenable number.

34106312361 is a deficient number, since it is larger than the sum of its proper divisors (15994054167).

34106312361 is a wasteful number, since it uses less digits than its factorization.

34106312361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10233032.

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 34106312361 in words is "thirty-four billion, one hundred six million, three hundred twelve thousand, three hundred sixty-one".