349580 has 48 divisors (see below), whose sum is σ = 919296. Its totient is φ = 108480.

The previous prime is 349579. The next prime is 349589. The reversal of 349580 is 85943.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (349589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1427 + ... + 1653.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2³⁴⁹⁵⁸⁰ 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 349580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

349580 is an abundant number, since it is smaller than the sum of its proper divisors (569716).

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

349580 is a wasteful number, since it uses less digits than its factorization.

349580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 349580 is about 591.2529069696. The cubic root of 349580 is about 70.4447868425. Note that the first 3 decimals are identical.

It can be divided in two parts, 349 and 580, that added together give a palindrome (929).

The spelling of 349580 in words is "three hundred forty-nine thousand, five hundred eighty".