353688 has 16 divisors (see below), whose sum is σ = 884280. Its totient is φ = 117888.

The previous prime is 353687. The next prime is 353699. The reversal of 353688 is 886353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7345 + ... + 7392.

2³⁵³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

353688 is an abundant number, since it is smaller than the sum of its proper divisors (530592).

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

353688 is a wasteful number, since it uses less digits than its factorization.

353688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14746 (or 14742 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 353688 is about 594.7167392970. The cubic root of 353688 is about 70.7196509405.

The spelling of 353688 in words is "three hundred fifty-three thousand, six hundred eighty-eight".