346200064 has 192 divisors, whose sum is σ = 880588800. Its totient is φ = 132710400.

The previous prime is 346200059. The next prime is 346200067. The reversal of 346200064 is 460002643.

346200064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346200067) 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, 8443884 + ... + 8443924.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^346200064 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 346200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

346200064 is an abundant number, since it is smaller than the sum of its proper divisors (534388736).

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

346200064 is a wasteful number, since it uses less digits than its factorization.

346200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 346200064 is about 18606.4522142186. The cubic root of 346200064 is about 702.1701792215.

The spelling of 346200064 in words is "three hundred forty-six million, two hundred thousand, sixty-four".