345360 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 92032.

The previous prime is 345329. The next prime is 345379. The reversal of 345360 is 63543.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2³⁴⁵³⁶⁰ is an apocalyptic number.

345360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345360 is the 480-th pentagonal number.

It is an amenable number.

345360 is an abundant number, since it is smaller than the sum of its proper divisors (726000).

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

345360 is a wasteful number, since it uses less digits than its factorization.

345360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 345360 is about 587.6733786722. The cubic root of 345360 is about 70.1601774124.

The spelling of 345360 in words is "three hundred forty-five thousand, three hundred sixty".