349800 has 96 divisors (see below), whose sum is σ = 1205280. Its totient is φ = 83200.

The previous prime is 349793. The next prime is 349801. The reversal of 349800 is 8943.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (349801) by changing a digit.

349800 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 23 ways as a sum of consecutive naturals, for example, 6574 + ... + 6626.

It is an arithmetic number, because the mean of its divisors is an integer number (12555).

2³⁴⁹⁸⁰⁰ is an apocalyptic number.

349800 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 349800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602640).

349800 is an abundant number, since it is smaller than the sum of its proper divisors (855480).

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

349800 is a wasteful number, since it uses less digits than its factorization.

349800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 349800 is about 591.4389233048. The cubic root of 349800 is about 70.4595613368.

The spelling of 349800 in words is "three hundred forty-nine thousand, eight hundred".