3248010028800 has 648 divisors, whose sum is σ = 11983620186720. Its totient is φ = 838759219200.

The previous prime is 3248010028799. The next prime is 3248010028817. The reversal of 3248010028800 is 88200108423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323534181 + ... + 323544219.

Almost surely, 2^{3248010028800} is an apocalyptic number.

3248010028800 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 3248010028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991810093360).

3248010028800 is an abundant number, since it is smaller than the sum of its proper divisors (8735610157920).

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

3248010028800 is a wasteful number, since it uses less digits than its factorization.

3248010028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10249 (or 10227 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 3248010028800 in words is "three trillion, two hundred forty-eight billion, ten million, twenty-eight thousand, eight hundred".