349000 has 32 divisors (see below), whose sum is σ = 819000. Its totient is φ = 139200.

The previous prime is 348991. The next prime is 349007. The reversal of 349000 is 943.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 206116 = 378^2 + 454^2 .

It is not an unprimeable number, because it can be changed into a prime (349007) by changing a digit.

349000 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 7 ways as a sum of consecutive naturals, for example, 826 + ... + 1174.

2³⁴⁹⁰⁰⁰ 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 349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409500).

349000 is an abundant number, since it is smaller than the sum of its proper divisors (470000).

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

349000 is a wasteful number, since it uses less digits than its factorization.

349000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 349000 is about 590.7622195097. The cubic root of 349000 is about 70.4058061671.

Adding to 349000 its reverse (943), we get a palindrome (349943).

The spelling of 349000 in words is "three hundred forty-nine thousand".