353340 has 72 divisors (see below), whose sum is σ = 1161888. Its totient is φ = 86400.

The previous prime is 353333. The next prime is 353341. The reversal of 353340 is 43353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353341) by changing a digit.

353340 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 23 ways as a sum of consecutive naturals, for example, 2265 + ... + 2415.

2³⁵³³⁴⁰ is an apocalyptic number.

353340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580944).

353340 is an abundant number, since it is smaller than the sum of its proper divisors (808548).

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

353340 is a wasteful number, since it uses less digits than its factorization.

353340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 353340 is about 594.4240910327. The cubic root of 353340 is about 70.6964492161.

Adding to 353340 its reverse (43353), we get a palindrome (396693).

It can be divided in two parts, 35 and 3340, that added together give a cube (3375 = 15³).

The spelling of 353340 in words is "three hundred fifty-three thousand, three hundred forty".