345800 has 96 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 103680.

The previous prime is 345791. The next prime is 345803. The reversal of 345800 is 8543.

345800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345803) by changing a digit.

345800 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, 18191 + ... + 18209.

It is an arithmetic number, because the mean of its divisors is an integer number (10850).

2³⁴⁵⁸⁰⁰ 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 345800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

345800 is an abundant number, since it is smaller than the sum of its proper divisors (695800).

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

345800 is a wasteful number, since it uses less digits than its factorization.

345800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 345800 is about 588.0476171196. The cubic root of 345800 is about 70.1899602258.

The spelling of 345800 in words is "three hundred forty-five thousand, eight hundred".