3250235144800 has 144 divisors (see below), whose sum is σ = 9069335462880. Its totient is φ = 1114221404160.

The previous prime is 3250235144791. The next prime is 3250235144813. The reversal of 3250235144800 is 84415320523.

It is a self number, because there is not a number n which added to its sum of digits gives 3250235144800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48625002 + ... + 48691798.

It is an arithmetic number, because the mean of its divisors is an integer number (62981496270).

Almost surely, 2^{3250235144800} 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 3250235144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534667731440).

3250235144800 is an abundant number, since it is smaller than the sum of its proper divisors (5819100318080).

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

3250235144800 is a wasteful number, since it uses less digits than its factorization.

3250235144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75513 (or 75500 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 3250235144800 in words is "three trillion, two hundred fifty billion, two hundred thirty-five million, one hundred forty-four thousand, eight hundred".