356384 has 48 divisors (see below), whose sum is σ = 842688. Its totient is φ = 145152.

The previous prime is 356351. The next prime is 356387. The reversal of 356384 is 483653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356387) by changing a digit.

356384 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 7 ways as a sum of consecutive naturals, for example, 8267 + ... + 8309.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

356384 is a Friedman number, since it can be written as 43*(8^3+6^5), using all its digits and the basic arithmetic operations.

2³⁵⁶³⁸⁴ 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 356384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421344).

356384 is an abundant number, since it is smaller than the sum of its proper divisors (486304).

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

356384 is a wasteful number, since it uses less digits than its factorization.

356384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 356384 is about 596.9790616094. The cubic root of 356384 is about 70.8988840328.

The spelling of 356384 in words is "three hundred fifty-six thousand, three hundred eighty-four".