378612 has 36 divisors (see below), whose sum is σ = 1031940. Its totient is φ = 116352.

The previous prime is 378601. The next prime is 378619. The reversal of 378612 is 216873.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 181476 = 444^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 378612.

It is not an unprimeable number, because it can be changed into a prime (378619) by changing a digit.

378612 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 64 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2³⁷⁸⁶¹² 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 378612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515970).

378612 is an abundant number, since it is smaller than the sum of its proper divisors (653328).

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

378612 is a wasteful number, since it uses less digits than its factorization.

378612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 827 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 378612 is about 615.3145537040. The cubic root of 378612 is about 72.3432682360.

Adding to 378612 its product of digits (2016), we get a triangular number (380628 = T₈₇₂).

It can be divided in two parts, 378 and 612, that added together give a triangular number (990 = T₄₄).

The spelling of 378612 in words is "three hundred seventy-eight thousand, six hundred twelve".