345630 has 32 divisors (see below), whose sum is σ = 852768. Its totient is φ = 89600.

The previous prime is 345607. The next prime is 345637. The reversal of 345630 is 36543.

345630 is nontrivially palindromic in base 13.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 345597 and 345606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345637) by changing a digit.

345630 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 15 ways as a sum of consecutive naturals, for example, 1090 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (26649).

2³⁴⁵⁶³⁰ is an apocalyptic number.

345630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426384).

345630 is an abundant number, since it is smaller than the sum of its proper divisors (507138).

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

345630 is a wasteful number, since it uses less digits than its factorization.

345630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 345630 is about 587.9030532324. The cubic root of 345630 is about 70.1784562262.

It can be divided in two parts, 3456 and 30, that added together give a triangular number (3486 = T₈₃).

The spelling of 345630 in words is "three hundred forty-five thousand, six hundred thirty".