378587227200 has 1344 divisors, whose sum is σ = 1603822682112. Its totient is φ = 76043059200.

The previous prime is 378587227171. The next prime is 378587227219. The reversal of 378587227200 is 2722785873.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 988478209 + ... + 988478591.

It is an arithmetic number, because the mean of its divisors is an integer number (1193320448).

Almost surely, 2^378587227200 is an apocalyptic number.

378587227200 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 378587227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801911341056).

378587227200 is an abundant number, since it is smaller than the sum of its proper divisors (1225235454912).

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

378587227200 is a wasteful number, since it uses less digits than its factorization.

378587227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 378587227200 in words is "three hundred seventy-eight billion, five hundred eighty-seven million, two hundred twenty-seven thousand, two hundred".