343680 has 64 divisors (see below), whose sum is σ = 1101600. Its totient is φ = 91136.

The previous prime is 343667. The next prime is 343687. The reversal of 343680 is 86343.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 343680.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 343680.

It is not an unprimeable number, because it can be changed into a prime (343687) by changing a digit.

343680 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 7 ways as a sum of consecutive naturals, for example, 1831 + ... + 2009.

2³⁴³⁶⁸⁰ is an apocalyptic number.

343680 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 343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800).

343680 is an abundant number, since it is smaller than the sum of its proper divisors (757920).

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

343680 is a wasteful number, since it uses less digits than its factorization.

343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 343680 is about 586.2422707380. The cubic root of 343680 is about 70.0462279678.

The spelling of 343680 in words is "three hundred forty-three thousand, six hundred eighty".