378192000 has 128 divisors (see below), whose sum is σ = 1253865600. Its totient is φ = 100838400.

The previous prime is 378191993. The next prime is 378192007. The reversal of 378192000 is 291873.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (378191993) and next prime (378192007).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (378192007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44061 + ... + 51939.

It is an arithmetic number, because the mean of its divisors is an integer number (9795825).

Almost surely, 2^378192000 is an apocalyptic number.

378192000 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 378192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626932800).

378192000 is an abundant number, since it is smaller than the sum of its proper divisors (875673600).

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

378192000 is an equidigital number, since it uses as much as digits as its factorization.

378192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 378192000 is about 19447.1591755711. The cubic root of 378192000 is about 723.1650784558.

The spelling of 378192000 in words is "three hundred seventy-eight million, one hundred ninety-two thousand".