34134075712 has 112 divisors (see below), whose sum is σ = 75852552384. Its totient is φ = 15105536000.

The previous prime is 34134075691. The next prime is 34134075713. The reversal of 34134075712 is 21757043143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134075713) 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, 18847287 + ... + 18849097.

It is an arithmetic number, because the mean of its divisors is an integer number (677254932).

Almost surely, 2^34134075712 is an apocalyptic number.

34134075712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34134075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37926276192).

34134075712 is an abundant number, since it is smaller than the sum of its proper divisors (41718476672).

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

34134075712 is a wasteful number, since it uses less digits than its factorization.

34134075712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 34134075712 in words is "thirty-four billion, one hundred thirty-four million, seventy-five thousand, seven hundred twelve".