346317216 has 96 divisors (see below), whose sum is σ = 1044062208. Its totient is φ = 98461440.

The previous prime is 346317193. The next prime is 346317229. The reversal of 346317216 is 612713643.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×346317216² = 239871228195981312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 148701 + ... + 151011.

It is an arithmetic number, because the mean of its divisors is an integer number (10875648).

Almost surely, 2^346317216 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 346317216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522031104).

346317216 is an abundant number, since it is smaller than the sum of its proper divisors (697744992).

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

346317216 is a wasteful number, since it uses less digits than its factorization.

346317216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2546 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 346317216 is about 18609.6001031726. The cubic root of 346317216 is about 702.2493736646.

The spelling of 346317216 in words is "three hundred forty-six million, three hundred seventeen thousand, two hundred sixteen".