378684000 has 288 divisors, whose sum is σ = 1372696416. Its totient is φ = 98841600.

The previous prime is 378683999. The next prime is 378684017. The reversal of 378684000 is 486873.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2411922 + ... + 2412078.

It is an arithmetic number, because the mean of its divisors is an integer number (4766307).

Almost surely, 2^378684000 is an apocalyptic number.

378684000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686348208).

378684000 is an abundant number, since it is smaller than the sum of its proper divisors (994012416).

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

378684000 is a wasteful number, since it uses less digits than its factorization.

378684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 378684000 is about 19459.8047266667. The cubic root of 378684000 is about 723.4785374407.

The spelling of 378684000 in words is "three hundred seventy-eight million, six hundred eighty-four thousand".