378654000 has 160 divisors (see below), whose sum is σ = 1230587904. Its totient is φ = 100166400.

The previous prime is 378653999. The next prime is 378654011. The reversal of 378654000 is 456873.

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 31 ways as a sum of consecutive naturals, for example, 1337859 + ... + 1338141.

Almost surely, 2^378654000 is an apocalyptic number.

378654000 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 378654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615293952).

378654000 is an abundant number, since it is smaller than the sum of its proper divisors (851933904).

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

378654000 is a wasteful number, since it uses less digits than its factorization.

378654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 378654000 is about 19459.0338917429. The cubic root of 378654000 is about 723.4594318634.

The spelling of 378654000 in words is "three hundred seventy-eight million, six hundred fifty-four thousand".