34134201088 has 144 divisors (see below), whose sum is σ = 74672307360. Its totient is φ = 15478751232.

The previous prime is 34134200993. The next prime is 34134201089. The reversal of 34134201088 is 88010243143.

It is not an unprimeable number, because it can be changed into a prime (34134201089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52272570 + ... + 52273222.

It is an arithmetic number, because the mean of its divisors is an integer number (518557690).

Almost surely, 2^34134201088 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 34134201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37336153680).

34134201088 is an abundant number, since it is smaller than the sum of its proper divisors (40538106272).

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

34134201088 is a wasteful number, since it uses less digits than its factorization.

34134201088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 34134201088 in words is "thirty-four billion, one hundred thirty-four million, two hundred one thousand, eighty-eight".