8384484000 has 192 divisors, whose sum is σ = 28108080000. Its totient is φ = 2183731200.

The previous prime is 8384483959. The next prime is 8384484007. The reversal of 8384484000 is 4844838.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8384484000.

It is not an unprimeable number, because it can be changed into a prime (8384484007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507876 + ... + 524124.

It is an arithmetic number, because the mean of its divisors is an integer number (146396250).

Almost surely, 2^8384484000 is an apocalyptic number.

8384484000 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 8384484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054040000).

8384484000 is an abundant number, since it is smaller than the sum of its proper divisors (19723596000).

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

8384484000 is a wasteful number, since it uses less digits than its factorization.

8384484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16320 (or 16302 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 8384484000 is about 91566.8280547055. The cubic root of 8384484000 is about 2031.5403226842.

The spelling of 8384484000 in words is "eight billion, three hundred eighty-four million, four hundred eighty-four thousand".