378561600 has 420 divisors, whose sum is σ = 1463430144. Its totient is φ = 95800320.

The previous prime is 378561581. The next prime is 378561607. The reversal of 378561600 is 6165873.

378561600 is a `hidden beast` number, since 37 + 8 + 5 + 616 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (378561607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2980737 + ... + 2980863.

Almost surely, 2^378561600 is an apocalyptic number.

378561600 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 378561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731715072).

378561600 is an abundant number, since it is smaller than the sum of its proper divisors (1084868544).

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

378561600 is a wasteful number, since it uses less digits than its factorization.

378561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 378561600 is about 19456.6595282952. The cubic root of 378561600 is about 723.4005803440.

The spelling of 378561600 in words is "three hundred seventy-eight million, five hundred sixty-one thousand, six hundred".