345420 has 72 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 86400.

The previous prime is 345413. The next prime is 345431. The reversal of 345420 is 24543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 345393 and 345402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3370 + ... + 3470.

It is an arithmetic number, because the mean of its divisors is an integer number (15470).

2³⁴⁵⁴²⁰ is an apocalyptic number.

345420 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 345420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556920).

345420 is an abundant number, since it is smaller than the sum of its proper divisors (768420).

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

345420 is a wasteful number, since it uses less digits than its factorization.

345420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 345420 is about 587.7244252198. The cubic root of 345420 is about 70.1642401941.

Adding to 345420 its reverse (24543), we get a palindrome (369963).

The spelling of 345420 in words is "three hundred forty-five thousand, four hundred twenty".