8381443200 has 384 divisors, whose sum is σ = 29960582400. Its totient is φ = 2047180800.

The previous prime is 8381443199. The next prime is 8381443219. The reversal of 8381443200 is 23441838.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8381443200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29827060 + ... + 29827340.

It is an arithmetic number, because the mean of its divisors is an integer number (78022350).

Almost surely, 2^8381443200 is an apocalyptic number.

8381443200 is a gapful number since it is divisible by the number (80) 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 8381443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980291200).

8381443200 is an abundant number, since it is smaller than the sum of its proper divisors (21579139200).

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

8381443200 is a wasteful number, since it uses less digits than its factorization.

8381443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 8381443200 is about 91550.2222826357. Note that the first 4 decimals coincide. The cubic root of 8381443200 is about 2031.2947001445.

The spelling of 8381443200 in words is "eight billion, three hundred eighty-one million, four hundred forty-three thousand, two hundred".