349320 has 64 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 89600.

The previous prime is 349313. The next prime is 349331. The reversal of 349320 is 23943.

It is an unprimeable number.

349320 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, 4885 + ... + 4955.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2³⁴⁹³²⁰ is an apocalyptic number.

349320 is a gapful number since it is divisible by the number (30) 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 349320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

349320 is an abundant number, since it is smaller than the sum of its proper divisors (739320).

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

349320 is a wasteful number, since it uses less digits than its factorization.

349320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 349320 is about 591.0329940029. The cubic root of 349320 is about 70.4273180827.

The spelling of 349320 in words is "three hundred forty-nine thousand, three hundred twenty".