378688 has 28 divisors (see below), whose sum is σ = 771652. Its totient is φ = 184320.

The previous prime is 378683. The next prime is 378691. The reversal of 378688 is 886873.

It can be written as a sum of positive squares in 2 ways, for example, as 73984 + 304704 = 272^2 + 552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 378688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3856 + ... + 3952.

It is an arithmetic number, because the mean of its divisors is an integer number (27559).

2³⁷⁸⁶⁸⁸ 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 378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385826).

378688 is an abundant number, since it is smaller than the sum of its proper divisors (392964).

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

378688 is an equidigital number, since it uses as much as digits as its factorization.

378688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 378688 is about 615.3763076362. The cubic root of 378688 is about 72.3481084775.

The spelling of 378688 in words is "three hundred seventy-eight thousand, six hundred eighty-eight".