384550966800 has 2400 divisors, whose sum is σ = 1890383007744. Its totient is φ = 72285696000.

The previous prime is 384550966733. The next prime is 384550966817. The reversal of 384550966800 is 8669055483.

It is a happy number.

384550966800 is a `hidden beast` number, since 3 + 8 + 4 + 550 + 9 + 6 + 6 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2302700317 + ... + 2302700483.

Almost surely, 2^384550966800 is an apocalyptic number.

384550966800 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 384550966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945191503872).

384550966800 is an abundant number, since it is smaller than the sum of its proper divisors (1505832040944).

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

384550966800 is a wasteful number, since it uses less digits than its factorization.

384550966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 384550966800 in words is "three hundred eighty-four billion, five hundred fifty million, nine hundred sixty-six thousand, eight hundred".