3251648800 has 108 divisors (see below), whose sum is σ = 8161176870. Its totient is φ = 1265080320.

The previous prime is 3251648791. The next prime is 3251648801. The reversal of 3251648800 is 88461523.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 386830224 + 2864818576 = 19668^2 + 53524^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 3251648800.

It is not an unprimeable number, because it can be changed into a prime (3251648801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1093716 + ... + 1096684.

Almost surely, 2^3251648800 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 3251648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080588435).

3251648800 is an abundant number, since it is smaller than the sum of its proper divisors (4909528070).

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

3251648800 is a wasteful number, since it uses less digits than its factorization.

3251648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 3251648800 is about 57023.2303539531. The cubic root of 3251648800 is about 1481.4984822926.

The spelling of 3251648800 in words is "three billion, two hundred fifty-one million, six hundred forty-eight thousand, eight hundred".