3248040448800 has 432 divisors, whose sum is σ = 13574408807232. Its totient is φ = 742408934400.

The previous prime is 3248040448799. The next prime is 3248040448801. The reversal of 3248040448800 is 88440408423.

It is an interprime number because it is at equal distance from previous prime (3248040448799) and next prime (3248040448801).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3248040448801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167370 + ... + 2554230.

Almost surely, 2^{3248040448800} is an apocalyptic number.

3248040448800 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 3248040448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787204403616).

3248040448800 is an abundant number, since it is smaller than the sum of its proper divisors (10326368358432).

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

3248040448800 is a wasteful number, since it uses less digits than its factorization.

3248040448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386903 (or 2386878 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 3248040448800 in words is "three trillion, two hundred forty-eight billion, forty million, four hundred forty-eight thousand, eight hundred".