345960 has 72 divisors (see below), whose sum is σ = 1161810. Its totient is φ = 89280.

The previous prime is 345953. The next prime is 345979. The reversal of 345960 is 69543.

It is a happy number.

345960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 34596 = 558^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11145 + ... + 11175.

2³⁴⁵⁹⁶⁰ is an apocalyptic number.

345960 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 345960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580905).

345960 is an abundant number, since it is smaller than the sum of its proper divisors (815850).

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

345960 is a wasteful number, since it uses less digits than its factorization.

345960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 345960 is about 588.1836447913. The cubic root of 345960 is about 70.2007840758.

Multiplying 345960 by its product of nonzero digits (3240), we get a square (1120910400 = 33480²).

The spelling of 345960 in words is "three hundred forty-five thousand, nine hundred sixty".