34106335561 has 8 divisors (see below), whose sum is σ = 37088607240. Its totient is φ = 31232510208.

The previous prime is 34106335547. The next prime is 34106335603. The reversal of 34106335561 is 16553360143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26101633600 + 8004701961 = 161560^2 + 89469^2 .

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 34106335561 - 2³³ = 25516400969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 34106335561.

It is not an unprimeable number, because it can be changed into a prime (34106335661) 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, 27110926 + ... + 27112183.

It is an arithmetic number, because the mean of its divisors is an integer number (4636075905).

Almost surely, 2^34106335561 is an apocalyptic number.

It is an amenable number.

34106335561 is a deficient number, since it is larger than the sum of its proper divisors (2982271679).

34106335561 is a wasteful number, since it uses less digits than its factorization.

34106335561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54223163.

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 34106335561 in words is "thirty-four billion, one hundred six million, three hundred thirty-five thousand, five hundred sixty-one".