396344 has 32 divisors (see below), whose sum is σ = 829920. Its totient is φ = 176256.

The previous prime is 396323. The next prime is 396349. The reversal of 396344 is 443693.

It is a happy number.

It is a super-3 number, since 3×396344³ = 186783332207626752, which contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396349) by changing a digit.

396344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 3797 + ... + 3899.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2³⁹⁶³⁴⁴ 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 396344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414960).

396344 is an abundant number, since it is smaller than the sum of its proper divisors (433576).

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

396344 is a wasteful number, since it uses less digits than its factorization.

396344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

The square root of 396344 is about 629.5585755114. The cubic root of 396344 is about 73.4554622427.

The spelling of 396344 in words is "three hundred ninety-six thousand, three hundred forty-four".