378729000 has 384 divisors, whose sum is σ = 1438819200. Its totient is φ = 92102400.

The previous prime is 378728983. The next prime is 378729019. The reversal of 378729000 is 927873.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4562959 + ... + 4563041.

It is an arithmetic number, because the mean of its divisors is an integer number (3746925).

Almost surely, 2^378729000 is an apocalyptic number.

378729000 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 378729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719409600).

378729000 is an abundant number, since it is smaller than the sum of its proper divisors (1060090200).

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

378729000 is a wasteful number, since it uses less digits than its factorization.

378729000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 378729000 is about 19460.9609218045. The cubic root of 378729000 is about 723.5071939148.

The spelling of 378729000 in words is "three hundred seventy-eight million, seven hundred twenty-nine thousand".