396336 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 126016.

The previous prime is 396323. The next prime is 396349. The reversal of 396336 is 633693.

It is an interprime number because it is at equal distance from previous prime (396323) and next prime (396349).

It is a zygodrome in base 2.

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, 925 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2³⁹⁶³³⁶ 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 396336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

396336 is an abundant number, since it is smaller than the sum of its proper divisors (675024).

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

396336 is a wasteful number, since it uses less digits than its factorization.

396336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its digits is 8748, while the sum is 30.

The square root of 396336 is about 629.5522218212. The cubic root of 396336 is about 73.4549680191.

The spelling of 396336 in words is "three hundred ninety-six thousand, three hundred thirty-six".