34134310240 has 96 divisors (see below), whose sum is σ = 82452504960. Its totient is φ = 13347907584.

The previous prime is 34134310207. The next prime is 34134310241. The reversal of 34134310240 is 4201343143.

It is a super-2 number, since 2×34134310240² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134310241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8337634 + ... + 8341726.

It is an arithmetic number, because the mean of its divisors is an integer number (858880260).

Almost surely, 2^34134310240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34134310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41226252480).

34134310240 is an abundant number, since it is smaller than the sum of its proper divisors (48318194720).

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

34134310240 is a wasteful number, since it uses less digits than its factorization.

34134310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34134310240 its reverse (4201343143), we get a palindrome (38335653383).

The spelling of 34134310240 in words is "thirty-four billion, one hundred thirty-four million, three hundred ten thousand, two hundred forty".