349300 has 36 divisors (see below), whose sum is σ = 868000. Its totient is φ = 119520.

The previous prime is 349291. The next prime is 349303. The reversal of 349300 is 3943.

349300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451 + ... + 949.

2³⁴⁹³⁰⁰ 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 349300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434000).

349300 is an abundant number, since it is smaller than the sum of its proper divisors (518700).

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

349300 is a wasteful number, since it uses less digits than its factorization.

349300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 349300 is about 591.0160742315. The cubic root of 349300 is about 70.4259739729.

Subtracting from 349300 its sum of digits (19), we obtain a square (349281 = 591²).

The spelling of 349300 in words is "three hundred forty-nine thousand, three hundred".