378270000 has 250 divisors, whose sum is σ = 1371020508. Its totient is φ = 100656000.

The previous prime is 378269971. The next prime is 378270017. The reversal of 378270000 is 72873.

It is a tau number, because it is divible by the number of its divisors (250).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 809767 + ... + 810233.

Almost surely, 2^378270000 is an apocalyptic number.

378270000 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 378270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685510254).

378270000 is an abundant number, since it is smaller than the sum of its proper divisors (992750508).

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

378270000 is an equidigital number, since it uses as much as digits as its factorization.

378270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 378270000 is about 19449.1645064769. The cubic root of 378270000 is about 723.2147912989.

The spelling of 378270000 in words is "three hundred seventy-eight million, two hundred seventy thousand".