34202216064 has 64 divisors (see below), whose sum is σ = 91057032000. Its totient is φ = 11374712832.

The previous prime is 34202216023. The next prime is 34202216093. The reversal of 34202216064 is 46061220243.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67132 + ... + 270020.

It is an arithmetic number, because the mean of its divisors is an integer number (1422766125).

Almost surely, 2^34202216064 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 34202216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45528516000).

34202216064 is an abundant number, since it is smaller than the sum of its proper divisors (56854815936).

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

34202216064 is a wasteful number, since it uses less digits than its factorization.

34202216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203345 (or 203333 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 34202216064 in words is "thirty-four billion, two hundred two million, two hundred sixteen thousand, sixty-four".