378126000 has 240 divisors, whose sum is σ = 1509837888. Its totient is φ = 86400000.

The previous prime is 378125939. The next prime is 378126017. The reversal of 378126000 is 621873.

It is a tau number, because it is divible by the number of its divisors (240).

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, 124500 + ... + 127500.

Almost surely, 2^378126000 is an apocalyptic number.

378126000 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 378126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754918944).

378126000 is an abundant number, since it is smaller than the sum of its proper divisors (1131711888).

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

378126000 is a wasteful number, since it uses less digits than its factorization.

378126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 378126000 is about 19445.4621955869. The cubic root of 378126000 is about 723.1230084032.

Adding to 378126000 its reverse (621873), we get a palindrome (378747873).

The spelling of 378126000 in words is "three hundred seventy-eight million, one hundred twenty-six thousand".