378045223200 has 864 divisors, whose sum is σ = 1426333708800. Its totient is φ = 94058496000.

The previous prime is 378045223177. The next prime is 378045223217. The reversal of 378045223200 is 2322540873.

378045223200 is a `hidden beast` number, since 37 + 80 + 4 + 522 + 3 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 997480611 + ... + 997480989.

It is an arithmetic number, because the mean of its divisors is an integer number (1650849200).

Almost surely, 2^378045223200 is an apocalyptic number.

378045223200 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 378045223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713166854400).

378045223200 is an abundant number, since it is smaller than the sum of its proper divisors (1048288485600).

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

378045223200 is a wasteful number, since it uses less digits than its factorization.

378045223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 378045223200 in words is "three hundred seventy-eight billion, forty-five million, two hundred twenty-three thousand, two hundred".