354384 has 60 divisors (see below), whose sum is σ = 1044576. Its totient is φ = 111936.

The previous prime is 354383. The next prime is 354391. The reversal of 354384 is 483453.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (5760) is a multiple of the sum of its prime factors (144).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354383) 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 11 ways as a sum of consecutive naturals, for example, 3259 + ... + 3365.

2³⁵⁴³⁸⁴ 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 354384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522288).

354384 is an abundant number, since it is smaller than the sum of its proper divisors (690192).

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

354384 is a wasteful number, since it uses less digits than its factorization.

354384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 354384 is about 595.3016042310. The cubic root of 354384 is about 70.7660087719.

The spelling of 354384 in words is "three hundred fifty-four thousand, three hundred eighty-four".