349218 has 32 divisors (see below), whose sum is σ = 806400. Its totient is φ = 111888.

The previous prime is 349211. The next prime is 349241. The reversal of 349218 is 812943.

349218 = T₁₂ + T₁₃ + ... + T₁₂₇.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 349191 and 349200.

It is not an unprimeable number, because it can be changed into a prime (349211) by changing a digit.

349218 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455 + ... + 1677.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2³⁴⁹²¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

349218 is an abundant number, since it is smaller than the sum of its proper divisors (457182).

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

349218 is a wasteful number, since it uses less digits than its factorization.

349218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 349218 is about 590.9466981040. The cubic root of 349218 is about 70.4204625865.

The spelling of 349218 in words is "three hundred forty-nine thousand, two hundred eighteen".