3249868800 has 312 divisors, whose sum is σ = 10969387200. Its totient is φ = 848691200.

The previous prime is 3249868781. The next prime is 3249868807. The reversal of 3249868800 is 88689423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3249868800.

It is not an unprimeable number, because it can be changed into a prime (3249868807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21811126 + ... + 21811274.

Almost surely, 2^3249868800 is an apocalyptic number.

3249868800 is a gapful number since it is divisible by the number (30) 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 3249868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484693600).

3249868800 is an abundant number, since it is smaller than the sum of its proper divisors (7719518400).

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

3249868800 is a wasteful number, since it uses less digits than its factorization.

3249868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 3249868800 is about 57007.6205432221. The cubic root of 3249868800 is about 1481.2281016542.

The spelling of 3249868800 in words is "three billion, two hundred forty-nine million, eight hundred sixty-eight thousand, eight hundred".