34134421000 has 128 divisors (see below), whose sum is σ = 82784332800. Its totient is φ = 13158163200.

The previous prime is 34134420953. The next prime is 34134421001. The reversal of 34134421000 is 12443143.

It is not an unprimeable number, because it can be changed into a prime (34134421001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25722337 + ... + 25723663.

It is an arithmetic number, because the mean of its divisors is an integer number (646752600).

Almost surely, 2^34134421000 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 34134421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41392166400).

34134421000 is an abundant number, since it is smaller than the sum of its proper divisors (48649911800).

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

34134421000 is a wasteful number, since it uses less digits than its factorization.

34134421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34134421000 its reverse (12443143), we get a palindrome (34146864143).

The spelling of 34134421000 in words is "thirty-four billion, one hundred thirty-four million, four hundred twenty-one thousand".