349200 has 90 divisors (see below), whose sum is σ = 1224314. Its totient is φ = 92160.

The previous prime is 349199. The next prime is 349207. The reversal of 349200 is 2943.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 331776 = 132^2 + 576^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (349207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3552 + ... + 3648.

2³⁴⁹²⁰⁰ is an apocalyptic number.

349200 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 349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612157).

349200 is an abundant number, since it is smaller than the sum of its proper divisors (875114).

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

349200 is a wasteful number, since it uses less digits than its factorization.

349200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 349200 is about 590.9314681078. The cubic root of 349200 is about 70.4192526545.

The spelling of 349200 in words is "three hundred forty-nine thousand, two hundred".