378565000 has 80 divisors (see below), whose sum is σ = 967752720. Its totient is φ = 137640000.

The previous prime is 378564983. The next prime is 378565009. The reversal of 378565000 is 565873.

It is a happy number.

It is a super-2 number, since 2×378565000² = 286622918450000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (378565009) 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 19 ways as a sum of consecutive naturals, for example, 51559 + ... + 58441.

It is an arithmetic number, because the mean of its divisors is an integer number (12096909).

Almost surely, 2^378565000 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 378565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483876360).

378565000 is an abundant number, since it is smaller than the sum of its proper divisors (589187720).

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

378565000 is a wasteful number, since it uses less digits than its factorization.

378565000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 378565000 is about 19456.7469017819. The cubic root of 378565000 is about 723.4027460458.

The spelling of 378565000 in words is "three hundred seventy-eight million, five hundred sixty-five thousand".