378288 has 60 divisors (see below), whose sum is σ = 1102608. Its totient is φ = 120960.

The previous prime is 378283. The next prime is 378289. The reversal of 378288 is 882873.

378288 is a `hidden beast` number, since 378 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (378283) by changing a digit.

378288 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 11 ways as a sum of consecutive naturals, for example, 5293 + ... + 5363.

2³⁷⁸²⁸⁸ 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 378288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551304).

378288 is an abundant number, since it is smaller than the sum of its proper divisors (724320).

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

378288 is a wasteful number, since it uses less digits than its factorization.

378288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 378288 is about 615.0512173795. The cubic root of 378288 is about 72.3226262523.

It can be divided in two parts, 378 and 288, that added together give a palindrome (666).

The spelling of 378288 in words is "three hundred seventy-eight thousand, two hundred eighty-eight".