384881827200 has 768 divisors, whose sum is σ = 1401135321600. Its totient is φ = 92280913920.

The previous prime is 384881827189. The next prime is 384881827229. The reversal of 384881827200 is 2728188483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1229654244 + ... + 1229654556.

It is an arithmetic number, because the mean of its divisors is an integer number (1824394950).

Almost surely, 2^384881827200 is an apocalyptic number.

384881827200 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 384881827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700567660800).

384881827200 is an abundant number, since it is smaller than the sum of its proper divisors (1016253494400).

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

384881827200 is a wasteful number, since it uses less digits than its factorization.

384881827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 384881827200 in words is "three hundred eighty-four billion, eight hundred eighty-one million, eight hundred twenty-seven thousand, two hundred".