355368 has 64 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 101376.

The previous prime is 355363. The next prime is 355379. The reversal of 355368 is 863553.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355361) by changing a digit.

355368 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 15 ways as a sum of consecutive naturals, for example, 5271 + ... + 5337.

It is an arithmetic number, because the mean of its divisors is an integer number (16065).

2³⁵⁵³⁶⁸ 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 355368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

355368 is an abundant number, since it is smaller than the sum of its proper divisors (672792).

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

355368 is a wasteful number, since it uses less digits than its factorization.

355368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 355368 is about 596.1275031401. The cubic root of 355368 is about 70.8314457013.

The spelling of 355368 in words is "three hundred fifty-five thousand, three hundred sixty-eight".