345720 has 64 divisors (see below), whose sum is σ = 1077120. Its totient is φ = 88704.

The previous prime is 345707. The next prime is 345727. The reversal of 345720 is 27543.

It is a happy number.

345720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5127 + ... + 5193.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2³⁴⁵⁷²⁰ is an apocalyptic number.

345720 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 345720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538560).

345720 is an abundant number, since it is smaller than the sum of its proper divisors (731400).

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

345720 is a wasteful number, since it uses less digits than its factorization.

345720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 345720 is about 587.9795914826. The cubic root of 345720 is about 70.1845470487.

The spelling of 345720 in words is "three hundred forty-five thousand, seven hundred twenty".