4328352000 has 864 divisors, whose sum is σ = 18902257920. Its totient is φ = 928972800.

The previous prime is 4328351999. The next prime is 4328352011. The reversal of 4328352000 is 2538234.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38303944 + ... + 38304056.

Almost surely, 2^4328352000 is an apocalyptic number.

4328352000 is a gapful number since it is divisible by the number (40) 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 4328352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9451128960).

4328352000 is an abundant number, since it is smaller than the sum of its proper divisors (14573905920).

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

4328352000 is a wasteful number, since it uses less digits than its factorization.

4328352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4328352000 is about 65790.2120379620. The cubic root of 4328352000 is about 1629.6994691016.

The spelling of 4328352000 in words is "four billion, three hundred twenty-eight million, three hundred fifty-two thousand".