34222304064 has 112 divisors (see below), whose sum is σ = 97655725440. Its totient is φ = 10514380800.

The previous prime is 34222304029. The next prime is 34222304071. The reversal of 34222304064 is 46040322243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1739917 + ... + 1759475.

It is an arithmetic number, because the mean of its divisors is an integer number (871926120).

Almost surely, 2^34222304064 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 34222304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48827862720).

34222304064 is an abundant number, since it is smaller than the sum of its proper divisors (63433421376).

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

34222304064 is a wasteful number, since it uses less digits than its factorization.

34222304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20288 (or 20278 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The spelling of 34222304064 in words is "thirty-four billion, two hundred twenty-two million, three hundred four thousand, sixty-four".