353646 has 40 divisors (see below), whose sum is σ = 827640. Its totient is φ = 112752.

The previous prime is 353641. The next prime is 353653. The reversal of 353646 is 646353.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353646.

It is not an unprimeable number, because it can be changed into a prime (353641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5965 + ... + 6023.

It is an arithmetic number, because the mean of its divisors is an integer number (20691).

2³⁵³⁶⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413820).

353646 is an abundant number, since it is smaller than the sum of its proper divisors (473994).

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

353646 is a wasteful number, since it uses less digits than its factorization.

353646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

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

The square root of 353646 is about 594.6814273205. The cubic root of 353646 is about 70.7168515401.

Adding to 353646 its reverse (646353), we get a palindrome (999999).

It can be divided in two parts, 353 and 646, that added together give a palindrome (999).

The spelling of 353646 in words is "three hundred fifty-three thousand, six hundred forty-six".