378216 has 64 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 117504.

The previous prime is 378193. The next prime is 378223. The reversal of 378216 is 612873.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 378216.

It is an unprimeable number.

378216 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 15 ways as a sum of consecutive naturals, for example, 3621 + ... + 3723.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2³⁷⁸²¹⁶ is an apocalyptic number.

378216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

378216 is an abundant number, since it is smaller than the sum of its proper divisors (744984).

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

378216 is a wasteful number, since it uses less digits than its factorization.

378216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 378216 is about 614.9926828833. The cubic root of 378216 is about 72.3180375443.

The spelling of 378216 in words is "three hundred seventy-eight thousand, two hundred sixteen".