378589200 has 480 divisors, whose sum is σ = 1461335040. Its totient is φ = 82790400.

The previous prime is 378589199. The next prime is 378589207. The reversal of 378589200 is 2985873.

It is not an unprimeable number, because it can be changed into a prime (378589207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8804379 + ... + 8804421.

It is an arithmetic number, because the mean of its divisors is an integer number (3044448).

Almost surely, 2^378589200 is an apocalyptic number.

378589200 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 378589200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730667520).

378589200 is an abundant number, since it is smaller than the sum of its proper divisors (1082745840).

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

378589200 is a wasteful number, since it uses less digits than its factorization.

378589200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 378589200 is about 19457.3687840879. The cubic root of 378589200 is about 723.4181603722.

The spelling of 378589200 in words is "three hundred seventy-eight million, five hundred eighty-nine thousand, two hundred".