346544406 has 80 divisors (see below), whose sum is σ = 850726800. Its totient is φ = 104784192.

The previous prime is 346544351. The next prime is 346544437. The reversal of 346544406 is 604445643.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122860 + ... + 125648.

It is an arithmetic number, because the mean of its divisors is an integer number (10634085).

Almost surely, 2^346544406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346544406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425363400).

346544406 is an abundant number, since it is smaller than the sum of its proper divisors (504182394).

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

346544406 is a wasteful number, since it uses less digits than its factorization.

346544406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 346544406 is about 18615.7032099247. The cubic root of 346544406 is about 702.4029026188.

It can be divided in two parts, 34654 and 4406, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 346544406 in words is "three hundred forty-six million, five hundred forty-four thousand, four hundred six".