345120 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 91904.

The previous prime is 345109. The next prime is 345133. The reversal of 345120 is 21543.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 345120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³⁴⁵¹²⁰ is an apocalyptic number.

345120 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 345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

345120 is an abundant number, since it is smaller than the sum of its proper divisors (743520).

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

345120 is a wasteful number, since it uses less digits than its factorization.

345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 345120 is about 587.4691481261. The cubic root of 345120 is about 70.1439215783.

Adding to 345120 its reverse (21543), we get a palindrome (366663).

It can be divided in two parts, 345 and 120, that added together give a triangular number (465 = T₃₀).

The spelling of 345120 in words is "three hundred forty-five thousand, one hundred twenty".