34106614321 has 8 divisors (see below), whose sum is σ = 37996759080. Its totient is φ = 30397406592.

The previous prime is 34106614307. The next prime is 34106614349. The reversal of 34106614321 is 12341660143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 787588096 + 33319026225 = 28064^2 + 182535^2 .

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 34106614321 - 2⁷ = 34106614193 is a prime.

It is a super-4 number, since 4×34106614321⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34106614391) 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, 45233860 + ... + 45234613.

It is an arithmetic number, because the mean of its divisors is an integer number (4749594885).

Almost surely, 2^34106614321 is an apocalyptic number.

It is an amenable number.

34106614321 is a deficient number, since it is larger than the sum of its proper divisors (3890144759).

34106614321 is a wasteful number, since it uses less digits than its factorization.

34106614321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90468515.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 34106614321 in words is "thirty-four billion, one hundred six million, six hundred fourteen thousand, three hundred twenty-one".