349416 has 48 divisors (see below), whose sum is σ = 992160. Its totient is φ = 110880.

The previous prime is 349411. The next prime is 349423. The reversal of 349416 is 614943.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 349416.

It is not an unprimeable number, because it can be changed into a prime (349411) by changing a digit.

349416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1551 + ... + 1761.

It is an arithmetic number, because the mean of its divisors is an integer number (20670).

2³⁴⁹⁴¹⁶ is an apocalyptic number.

349416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496080).

349416 is an abundant number, since it is smaller than the sum of its proper divisors (642744).

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

349416 is a wasteful number, since it uses less digits than its factorization.

349416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 349416 is about 591.1142021640. The cubic root of 349416 is about 70.4337690954.

The spelling of 349416 in words is "three hundred forty-nine thousand, four hundred sixteen".