346807664 has 80 divisors (see below), whose sum is σ = 806615040. Its totient is φ = 141315840.

The previous prime is 346807661. The next prime is 346807729. The reversal of 346807664 is 466708643.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346807661) 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, 204002 + ... + 205694.

It is an arithmetic number, because the mean of its divisors is an integer number (10082688).

Almost surely, 2^346807664 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 346807664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403307520).

346807664 is an abundant number, since it is smaller than the sum of its proper divisors (459807376).

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

346807664 is a wasteful number, since it uses less digits than its factorization.

346807664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The square root of 346807664 is about 18622.7727258859. The cubic root of 346807664 is about 702.5807214648.

The spelling of 346807664 in words is "three hundred forty-six million, eight hundred seven thousand, six hundred sixty-four".