378824256 has 112 divisors (see below), whose sum is σ = 1141049280. Its totient is φ = 123171840.

The previous prime is 378824239. The next prime is 378824279. The reversal of 378824256 is 652428873.

378824256 is a `hidden beast` number, since 378 + 8 + 24 + 256 = 666.

378824256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 68175 + ... + 73521.

It is an arithmetic number, because the mean of its divisors is an integer number (10187940).

Almost surely, 2^378824256 is an apocalyptic number.

378824256 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 378824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570524640).

378824256 is an abundant number, since it is smaller than the sum of its proper divisors (762225024).

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

378824256 is a wasteful number, since it uses less digits than its factorization.

378824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5393 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 378824256 is about 19463.4081291022. The cubic root of 378824256 is about 723.5678464518.

The spelling of 378824256 in words is "three hundred seventy-eight million, eight hundred twenty-four thousand, two hundred fifty-six".