345636 has 18 divisors (see below), whose sum is σ = 873782. Its totient is φ = 115200.

The previous prime is 345607. The next prime is 345637. The reversal of 345636 is 636543.

It can be written as a sum of positive squares in only one way, i.e., 324900 + 20736 = 570^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

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

345636 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4765 + ... + 4836.

2³⁴⁵⁶³⁶ is an apocalyptic number.

345636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345636 is an abundant number, since it is smaller than the sum of its proper divisors (528146).

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

345636 is a wasteful number, since it uses less digits than its factorization.

345636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9611 (or 9606 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 345636 is about 587.9081560924. The cubic root of 345636 is about 70.1788623140.

The spelling of 345636 in words is "three hundred forty-five thousand, six hundred thirty-six".