378201600 has 540 divisors, whose sum is σ = 1597954644. Its totient is φ = 85155840.

The previous prime is 378201569. The next prime is 378201661. The reversal of 378201600 is 6102873.

378201600 is a `hidden beast` number, since 37 + 8 + 20 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 5644767 + ... + 5644833.

Almost surely, 2^378201600 is an apocalyptic number.

378201600 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 378201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798977322).

378201600 is an abundant number, since it is smaller than the sum of its proper divisors (1219753044).

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

378201600 is a wasteful number, since it uses less digits than its factorization.

378201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 378201600 is about 19447.4059966876. The cubic root of 378201600 is about 723.1711973284.

The spelling of 378201600 in words is "three hundred seventy-eight million, two hundred one thousand, six hundred".