343800 has 72 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 91200.

The previous prime is 343799. The next prime is 343801. The reversal of 343800 is 8343.

It is an interprime number because it is at equal distance from previous prime (343799) and next prime (343801).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343801) 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, 1705 + ... + 1895.

It is an arithmetic number, because the mean of its divisors is an integer number (16120).

2³⁴³⁸⁰⁰ is an apocalyptic number.

343800 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 343800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

343800 is an abundant number, since it is smaller than the sum of its proper divisors (816840).

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

343800 is a wasteful number, since it uses less digits than its factorization.

343800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 343800 is about 586.3446085708. The cubic root of 343800 is about 70.0543795130.

The spelling of 343800 in words is "three hundred forty-three thousand, eight hundred".