378352 has 40 divisors (see below), whose sum is σ = 843696. Its totient is φ = 162816.

The previous prime is 378317. The next prime is 378353. The reversal of 378352 is 253873.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 378352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378353) by changing a digit.

378352 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 7 ways as a sum of consecutive naturals, for example, 3483 + ... + 3589.

2³⁷⁸³⁵² 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 378352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421848).

378352 is an abundant number, since it is smaller than the sum of its proper divisors (465344).

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

378352 is a wasteful number, since it uses less digits than its factorization.

378352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 378352 is about 615.1032433665. The cubic root of 378352 is about 72.3267046151.

The spelling of 378352 in words is "three hundred seventy-eight thousand, three hundred fifty-two".