3249980800 has 192 divisors, whose sum is σ = 8839434240. Its totient is φ = 1170892800.

The previous prime is 3249980749. The next prime is 3249980801. The reversal of 3249980800 is 80899423.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3249980801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4470037 + ... + 4470763.

It is an arithmetic number, because the mean of its divisors is an integer number (46038720).

Almost surely, 2^3249980800 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 3249980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419717120).

3249980800 is an abundant number, since it is smaller than the sum of its proper divisors (5589453440).

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

3249980800 is a wasteful number, since it uses less digits than its factorization.

3249980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 3249980800 is about 57008.6028595685. The cubic root of 3249980800 is about 1481.2451172787.

The spelling of 3249980800 in words is "three billion, two hundred forty-nine million, nine hundred eighty thousand, eight hundred".