378800687200 has 288 divisors, whose sum is σ = 1018277326080. Its totient is φ = 136751155200.

The previous prime is 378800687197. The next prime is 378800687269. The reversal of 378800687200 is 2786008873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96853245 + ... + 96857155.

It is an arithmetic number, because the mean of its divisors is an integer number (3535685160).

Almost surely, 2^378800687200 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 378800687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509138663040).

378800687200 is an abundant number, since it is smaller than the sum of its proper divisors (639476638880).

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

378800687200 is a wasteful number, since it uses less digits than its factorization.

378800687200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 378800687200 in words is "three hundred seventy-eight billion, eight hundred million, six hundred eighty-seven thousand, two hundred".