3488621800224 has 1152 divisors, whose sum is σ = 11934455500800. Its totient is φ = 878343782400.

The previous prime is 3488621800171. The next prime is 3488621800229. The reversal of 3488621800224 is 4220081268843.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3488621800229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9505781289 + ... + 9505781655.

It is an arithmetic number, because the mean of its divisors is an integer number (10359770400).

Almost surely, 2^{3488621800224} is an apocalyptic number.

3488621800224 is a gapful number since it is divisible by the number (34) 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 3488621800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967227750400).

3488621800224 is an abundant number, since it is smaller than the sum of its proper divisors (8445833700576).

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

3488621800224 is a wasteful number, since it uses less digits than its factorization.

3488621800224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 3488621800224 in words is "three trillion, four hundred eighty-eight billion, six hundred twenty-one million, eight hundred thousand, two hundred twenty-four".