378336 has 48 divisors (see below), whose sum is σ = 1137024. Its totient is φ = 107904.

The previous prime is 378317. The next prime is 378353. The reversal of 378336 is 633873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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 378336.

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, 391 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (23688).

2³⁷⁸³³⁶ 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 378336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568512).

378336 is an abundant number, since it is smaller than the sum of its proper divisors (758688).

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

378336 is a wasteful number, since it uses less digits than its factorization.

378336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 378336 is about 615.0902372823. The cubic root of 378336 is about 72.3256850675.

The spelling of 378336 in words is "three hundred seventy-eight thousand, three hundred thirty-six".