342120 has 32 divisors (see below), whose sum is σ = 1026720. Its totient is φ = 91200.

The previous prime is 342107. The next prime is 342131. The reversal of 342120 is 21243.

342120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 342096 and 342105.

It is an unprimeable number.

342120 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, 1306 + ... + 1545.

It is an arithmetic number, because the mean of its divisors is an integer number (32085).

2³⁴²¹²⁰ is an apocalyptic number.

342120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342120 is an abundant number, since it is smaller than the sum of its proper divisors (684600).

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

342120 is a wasteful number, since it uses less digits than its factorization.

342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 342120 is about 584.9102495255. The cubic root of 342120 is about 69.9400847857.

Adding to 342120 its reverse (21243), we get a palindrome (363363).

The spelling of 342120 in words is "three hundred forty-two thousand, one hundred twenty", and thus it is an iban number.