378006 has 12 divisors (see below), whose sum is σ = 759036. Its totient is φ = 125500.

The previous prime is 377999. The next prime is 378011. The reversal of 378006 is 600873.

378006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 378006.

It is an unprimeable number.

378006 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 5 ways as a sum of consecutive naturals, for example, 1381 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (63253).

2³⁷⁸⁰⁰⁶ is an apocalyptic number.

378006 is an abundant number, since it is smaller than the sum of its proper divisors (381030).

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

378006 is an equidigital number, since it uses as much as digits as its factorization.

378006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 378006 is about 614.8219254386. The cubic root of 378006 is about 72.3046504855.

Multiplying 378006 by its sum of digits (24), we get a square (9072144 = 3012²).

Adding to 378006 its reverse (600873), we get a palindrome (978879).

The spelling of 378006 in words is "three hundred seventy-eight thousand, six".