34070334016 has 112 divisors (see below), whose sum is σ = 71860501440. Its totient is φ = 16002201600.

The previous prime is 34070333977. The next prime is 34070334017. The reversal of 34070334016 is 61043307043.

It is not an unprimeable number, because it can be changed into a prime (34070334017) 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, 10319566 + ... + 10322866.

It is an arithmetic number, because the mean of its divisors is an integer number (641611620).

Almost surely, 2^34070334016 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 34070334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35930250720).

34070334016 is an abundant number, since it is smaller than the sum of its proper divisors (37790167424).

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

34070334016 is a wasteful number, since it uses less digits than its factorization.

34070334016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The spelling of 34070334016 in words is "thirty-four billion, seventy million, three hundred thirty-four thousand, sixteen".