378896 has 40 divisors (see below), whose sum is σ = 892800. Its totient is φ = 152064.

The previous prime is 378893. The next prime is 378901. The reversal of 378896 is 698873.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378896.

It is not an unprimeable number, because it can be changed into a prime (378893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1805 + ... + 2003.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2³⁷⁸⁸⁹⁶ 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 378896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

378896 is an abundant number, since it is smaller than the sum of its proper divisors (513904).

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

378896 is a wasteful number, since it uses less digits than its factorization.

378896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 378896 is about 615.5452867174. The cubic root of 378896 is about 72.3613521435.

The spelling of 378896 in words is "three hundred seventy-eight thousand, eight hundred ninety-six".