378541600 has 72 divisors (see below), whose sum is σ = 939385188. Its totient is φ = 148915200.

The previous prime is 378541577. The next prime is 378541609. The reversal of 378541600 is 6145873.

It can be written as a sum of positive squares in 6 ways, for example, as 92390544 + 286151056 = 9612^2 + 16916^2 .

It is not an unprimeable number, because it can be changed into a prime (378541609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44922 + ... + 52678.

Almost surely, 2^378541600 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 378541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469692594).

378541600 is an abundant number, since it is smaller than the sum of its proper divisors (560843588).

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

378541600 is a wasteful number, since it uses less digits than its factorization.

378541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 378541600 is about 19456.1455586660. The cubic root of 378541600 is about 723.3878406592.

The spelling of 378541600 in words is "three hundred seventy-eight million, five hundred forty-one thousand, six hundred".