3280352000 has 144 divisors (see below), whose sum is σ = 8528974272. Its totient is φ = 1254809600.

The previous prime is 3280351993. The next prime is 3280352039. The reversal of 3280352000 is 2530823.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a zygodrome in base 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 733772 + ... + 738228.

It is an arithmetic number, because the mean of its divisors is an integer number (59228988).

Almost surely, 2^3280352000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3280352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264487136).

3280352000 is an abundant number, since it is smaller than the sum of its proper divisors (5248622272).

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

3280352000 is an equidigital number, since it uses as much as digits as its factorization.

3280352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3280352000 is about 57274.3572639624. The cubic root of 3280352000 is about 1485.8449166628.

Adding to 3280352000 its reverse (2530823), we get a palindrome (3282882823).

The spelling of 3280352000 in words is "three billion, two hundred eighty million, three hundred fifty-two thousand".