378824947200 has 1440 divisors, whose sum is σ = 1631239593984. Its totient is φ = 85279703040.

The previous prime is 378824947187. The next prime is 378824947201. The reversal of 378824947200 is 2749428873.

It is a happy number.

378824947200 is a `hidden beast` number, since 3 + 7 + 8 + 82 + 494 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378824947201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2765145532 + ... + 2765145668.

Almost surely, 2^378824947200 is an apocalyptic number.

378824947200 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 378824947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815619796992).

378824947200 is an abundant number, since it is smaller than the sum of its proper divisors (1252414646784).

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

378824947200 is a wasteful number, since it uses less digits than its factorization.

378824947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 378824947200 in words is "three hundred seventy-eight billion, eight hundred twenty-four million, nine hundred forty-seven thousand, two hundred".