8348832000 has 360 divisors, whose sum is σ = 31078239192. Its totient is φ = 2225664000.

The previous prime is 8348831999. The next prime is 8348832007. The reversal of 8348832000 is 2388438.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 8308687104 = 6336^2 + 91152^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8348832007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2590390 + ... + 2593610.

Almost surely, 2^8348832000 is an apocalyptic number.

8348832000 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 8348832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539119596).

8348832000 is an abundant number, since it is smaller than the sum of its proper divisors (22729407192).

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

8348832000 is an equidigital number, since it uses as much as digits as its factorization.

8348832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8348832000 is about 91371.9431773233. The cubic root of 8348832000 is about 2028.6567670809.

The spelling of 8348832000 in words is "eight billion, three hundred forty-eight million, eight hundred thirty-two thousand".