384228886176 has 192 divisors, whose sum is σ = 1136690271360. Its totient is φ = 127829415168.

The previous prime is 384228886133. The next prime is 384228886201. The reversal of 384228886176 is 671688822483.

384228886176 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 2 + 8 + 8 + 8 + 617 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38276230 + ... + 38286266.

It is an arithmetic number, because the mean of its divisors is an integer number (5920261830).

Almost surely, 2^384228886176 is an apocalyptic number.

384228886176 is a gapful number since it is divisible by the number (36) 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 384228886176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568345135680).

384228886176 is an abundant number, since it is smaller than the sum of its proper divisors (752461385184).

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

384228886176 is an equidigital number, since it uses as much as digits as its factorization.

384228886176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10589 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 384228886176 in words is "three hundred eighty-four billion, two hundred twenty-eight million, eight hundred eighty-six thousand, one hundred seventy-six".