346709216 has 48 divisors (see below), whose sum is σ = 782014464. Its totient is φ = 148224384.

The previous prime is 346709213. The next prime is 346709219. The reversal of 346709216 is 612907643.

It is an interprime number because it is at equal distance from previous prime (346709213) and next prime (346709219).

It is a self number, because there is not a number n which added to its sum of digits gives 346709216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346709213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102041 + ... + 105383.

It is an arithmetic number, because the mean of its divisors is an integer number (16291968).

Almost surely, 2^346709216 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 346709216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391007232).

346709216 is an abundant number, since it is smaller than the sum of its proper divisors (435305248).

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

346709216 is a wasteful number, since it uses less digits than its factorization.

346709216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 346709216 is about 18620.1293228592. The cubic root of 346709216 is about 702.5142348403.

The spelling of 346709216 in words is "three hundred forty-six million, seven hundred nine thousand, two hundred sixteen".