378200064 has 112 divisors (see below), whose sum is σ = 1100937600. Its totient is φ = 114524160.

The previous prime is 378200033. The next prime is 378200077. The reversal of 378200064 is 460002873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269637 + ... + 271035.

It is an arithmetic number, because the mean of its divisors is an integer number (9829800).

Almost surely, 2^378200064 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 378200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550468800).

378200064 is an abundant number, since it is smaller than the sum of its proper divisors (722737536).

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

378200064 is a wasteful number, since it uses less digits than its factorization.

378200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 378200064 is about 19447.3665055195. The cubic root of 378200064 is about 723.1702183157.

The spelling of 378200064 in words is "three hundred seventy-eight million, two hundred thousand, sixty-four".