34085316912 has 120 divisors (see below), whose sum is σ = 95776994880. Its totient is φ = 10416297600.

The previous prime is 34085316901. The next prime is 34085316917. The reversal of 34085316912 is 21961358043.

It is not an unprimeable number, because it can be changed into a prime (34085316917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856987 + ... + 895877.

It is an arithmetic number, because the mean of its divisors is an integer number (798141624).

Almost surely, 2^34085316912 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 34085316912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47888497440).

34085316912 is an abundant number, since it is smaller than the sum of its proper divisors (61691677968).

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

34085316912 is a wasteful number, since it uses less digits than its factorization.

34085316912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38983 (or 38946 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 34085316912 in words is "thirty-four billion, eighty-five million, three hundred sixteen thousand, nine hundred twelve".