353808 has 120 divisors (see below), whose sum is σ = 1263808. Its totient is φ = 93312.

The previous prime is 353807. The next prime is 353813. The reversal of 353808 is 808353.

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (353807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27210 + ... + 27222.

2³⁵³⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631904).

353808 is an abundant number, since it is smaller than the sum of its proper divisors (910000).

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

353808 is a wasteful number, since it uses less digits than its factorization.

353808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 353808 is about 594.8176191069. The cubic root of 353808 is about 70.7276480062.

The spelling of 353808 in words is "three hundred fifty-three thousand, eight hundred eight".