34055110314 has 16 divisors (see below), whose sum is σ = 75678023040. Its totient is φ = 11351703420.

The previous prime is 34055110289. The next prime is 34055110339. The reversal of 34055110314 is 41301155043.

It is a happy number.

34055110314 is a `hidden beast` number, since 3 + 4 + 0 + 551 + 103 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34055110289) and next prime (34055110339).

It is a super-3 number, since 3×34055110314³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315325042 + ... + 315325149.

It is an arithmetic number, because the mean of its divisors is an integer number (4729876440).

Almost surely, 2^34055110314 is an apocalyptic number.

34055110314 is an abundant number, since it is smaller than the sum of its proper divisors (41622912726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34055110314 is a wasteful number, since it uses less digits than its factorization.

34055110314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630650202 (or 630650196 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 34055110314 its reverse (41301155043), we get a palindrome (75356265357).

The spelling of 34055110314 in words is "thirty-four billion, fifty-five million, one hundred ten thousand, three hundred fourteen".