378360 has 48 divisors (see below), whose sum is σ = 1230840. Its totient is φ = 100800.

The previous prime is 378353. The next prime is 378361. The reversal of 378360 is 63873.

It is a happy number.

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 378360.

It is not an unprimeable number, because it can be changed into a prime (378361) by changing a digit.

378360 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166 + ... + 885.

2³⁷⁸³⁶⁰ is an apocalyptic number.

378360 is a gapful number since it is divisible by the number (30) 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 378360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615420).

378360 is an abundant number, since it is smaller than the sum of its proper divisors (852480).

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

378360 is a wasteful number, since it uses less digits than its factorization.

378360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 378360 is about 615.1097463055. The cubic root of 378360 is about 72.3272143781.

The spelling of 378360 in words is "three hundred seventy-eight thousand, three hundred sixty".