353364 has 24 divisors (see below), whose sum is σ = 899808. Its totient is φ = 107040.

The previous prime is 353359. The next prime is 353389. The reversal of 353364 is 463353.

It is a super-2 number, since 2×353364² = 249732232992, which contains 22 as substring.

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 353364.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207 + ... + 1470.

It is an arithmetic number, because the mean of its divisors is an integer number (37492).

2³⁵³³⁶⁴ is an apocalyptic number.

It is an amenable number.

353364 is an abundant number, since it is smaller than the sum of its proper divisors (546444).

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

353364 is a wasteful number, since it uses less digits than its factorization.

353364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2693 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 353364 is about 594.4442782970. Note that the first 3 decimals coincide. The cubic root of 353364 is about 70.6980498239.

It can be divided in two parts, 353 and 364, that added together give a palindrome (717).

The spelling of 353364 in words is "three hundred fifty-three thousand, three hundred sixty-four".