34134544100 has 72 divisors (see below), whose sum is σ = 74734800000. Its totient is φ = 13532054400.

The previous prime is 34134544097. The next prime is 34134544127. The reversal of 34134544100 is 144543143.

It is a happy 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, 7432805 + ... + 7437395.

Almost surely, 2^34134544100 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 34134544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37367400000).

34134544100 is an abundant number, since it is smaller than the sum of its proper divisors (40600255900).

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

34134544100 is a wasteful number, since it uses less digits than its factorization.

34134544100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 34134544100 in words is "thirty-four billion, one hundred thirty-four million, five hundred forty-four thousand, one hundred".