345760 has 24 divisors (see below), whose sum is σ = 817236. Its totient is φ = 138240.

The previous prime is 345757. The next prime is 345769. The reversal of 345760 is 67543.

345760 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 16 = 588^2 + 4^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (345769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 921 + ... + 1240.

2³⁴⁵⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

345760 is an abundant number, since it is smaller than the sum of its proper divisors (471476).

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

345760 is a wasteful number, since it uses less digits than its factorization.

345760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 345760 is about 588.0136052848. The cubic root of 345760 is about 70.1872537416.

The spelling of 345760 in words is "three hundred forty-five thousand, seven hundred sixty".