3248449881040 has 1280 divisors, whose sum is σ = 10505567600640. Its totient is φ = 905191096320.

The previous prime is 3248449880999. The next prime is 3248449881041. The reversal of 3248449881040 is 401889448423.

3248449881040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3248449881041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25578345457 + ... + 25578345583.

It is an arithmetic number, because the mean of its divisors is an integer number (8207474688).

Almost surely, 2^{3248449881040} 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 3248449881040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252783800320).

3248449881040 is an abundant number, since it is smaller than the sum of its proper divisors (7257117719600).

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

3248449881040 is a wasteful number, since it uses less digits than its factorization.

3248449881040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The spelling of 3248449881040 in words is "three trillion, two hundred forty-eight billion, four hundred forty-nine million, eight hundred eighty-one thousand, forty".