378630000 has 300 divisors, whose sum is σ = 1515802288. Its totient is φ = 86400000.

The previous prime is 378629987. The next prime is 378630011. The reversal of 378630000 is 36873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 629700 + ... + 630300.

Almost surely, 2^378630000 is an apocalyptic number.

378630000 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 378630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757901144).

378630000 is an abundant number, since it is smaller than the sum of its proper divisors (1137172288).

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

378630000 is a wasteful number, since it uses less digits than its factorization.

378630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 618 counting only the distinct ones).

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

The square root of 378630000 is about 19458.4172018178. The cubic root of 378630000 is about 723.4441466750. Note that the first 3 decimals are identical.

Adding to 378630000 its reverse (36873), we get a palindrome (378666873).

The spelling of 378630000 in words is "three hundred seventy-eight million, six hundred thirty thousand".