378616000 has 112 divisors (see below), whose sum is σ = 1071749952. Its totient is φ = 129792000.

The previous prime is 378615977. The next prime is 378616009. The reversal of 378616000 is 616873.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (378616009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52620 + ... + 59380.

It is an arithmetic number, because the mean of its divisors is an integer number (9569196).

Almost surely, 2^378616000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535874976).

378616000 is an abundant number, since it is smaller than the sum of its proper divisors (693133952).

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

378616000 is an equidigital number, since it uses as much as digits as its factorization.

378616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795 (or 6775 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 378616000 is about 19458.0574570022. The cubic root of 378616000 is about 723.4352300168.

The spelling of 378616000 in words is "three hundred seventy-eight million, six hundred sixteen thousand".