378275788800 has 2304 divisors, whose sum is σ = 1783485849600. Its totient is φ = 76441190400.

The previous prime is 378275788783. The next prime is 378275788801. The reversal of 378275788800 is 8887572873.

378275788800 is a `hidden beast` number, since 37 + 8 + 27 + 578 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378275788801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3899750352 + ... + 3899750448.

It is an arithmetic number, because the mean of its divisors is an integer number (774082400).

Almost surely, 2^378275788800 is an apocalyptic number.

378275788800 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 378275788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891742924800).

378275788800 is an abundant number, since it is smaller than the sum of its proper divisors (1405210060800).

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

378275788800 is a wasteful number, since it uses less digits than its factorization.

378275788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 378275788800 in words is "three hundred seventy-eight billion, two hundred seventy-five million, seven hundred eighty-eight thousand, eight hundred".