34134013300 has 72 divisors (see below), whose sum is σ = 76279754936. Its totient is φ = 13248437760.

The previous prime is 34134013273. The next prime is 34134013339. The reversal of 34134013300 is 331043143.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9794269156 + 24339744144 = 98966^2 + 156012^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1367734 + ... + 1392466.

Almost surely, 2^34134013300 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 34134013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38139877468).

34134013300 is an abundant number, since it is smaller than the sum of its proper divisors (42145741636).

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

34134013300 is a wasteful number, since it uses less digits than its factorization.

34134013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25157 (or 25150 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 34134013300 its reverse (331043143), we get a palindrome (34465056443).

The spelling of 34134013300 in words is "thirty-four billion, one hundred thirty-four million, thirteen thousand, three hundred".