It is a happy number.
It is a Jordan-Polya number, since it can be written as 6! ⋅ 5! ⋅ (2!)2.
It is a tau number, because it is divible by the number of its divisors (120).
It is a d-powerful number, because it can be written as 3 + 48 + 67 + 53 + 0 + 0 .
It is a congruent number.
345600 is a Friedman number, since it can be written as 600^3/5^4, using all its digits and the basic arithmetic operations.
2345600 is an apocalyptic number.
345600 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 345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345600 is an equidigital number, since it uses as much as digits as its factorization.
345600 is an odious number, because the sum of its binary digits is odd.
The square root of 345600 is about 587.8775382680. The cubic root of 345600 is about 70.1764257171.
The spelling of 345600 in words is "three hundred forty-five thousand, six hundred".