378630 has 48 divisors (see below), whose sum is σ = 1126944. Its totient is φ = 86400.

The previous prime is 378629. The next prime is 378661. The reversal of 378630 is 36873.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 378594 and 378603.

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 378630.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (23478).

2³⁷⁸⁶³⁰ is an apocalyptic number.

378630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563472).

378630 is an abundant number, since it is smaller than the sum of its proper divisors (748314).

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

378630 is a wasteful number, since it uses less digits than its factorization.

378630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 378630 is about 615.3291801954. The cubic root of 378630 is about 72.3444146675.

The spelling of 378630 in words is "three hundred seventy-eight thousand, six hundred thirty".