3249612800 has 144 divisors (see below), whose sum is σ = 9209098080. Its totient is φ = 1114030080.

The previous prime is 3249612787. The next prime is 3249612823. The reversal of 3249612800 is 82169423.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353867 + ... + 362933.

It is an arithmetic number, because the mean of its divisors is an integer number (63952070).

Almost surely, 2^3249612800 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 3249612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604549040).

3249612800 is an abundant number, since it is smaller than the sum of its proper divisors (5959485280).

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

3249612800 is an equidigital number, since it uses as much as digits as its factorization.

3249612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9106 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 3249612800 is about 57005.3751851525. The cubic root of 3249612800 is about 1481.1892073301.

The spelling of 3249612800 in words is "three billion, two hundred forty-nine million, six hundred twelve thousand, eight hundred".