3555084484224 has 1920 divisors, whose sum is σ = 14312444731200. Its totient is φ = 865338163200.

The previous prime is 3555084484219. The next prime is 3555084484229. The reversal of 3555084484224 is 4224844805553.

3555084484224 is a `hidden beast` number, since 3 + 5 + 550 + 8 + 4 + 4 + 84 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3555084484219) and next prime (3555084484229).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3555084484229) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5144839719 + ... + 5144840409.

Almost surely, 2^{3555084484224} 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 3555084484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156222365600).

3555084484224 is an abundant number, since it is smaller than the sum of its proper divisors (10757360246976).

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

3555084484224 is a wasteful number, since it uses less digits than its factorization.

3555084484224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 24576000, while the sum is 54.

The spelling of 3555084484224 in words is "three trillion, five hundred fifty-five billion, eighty-four million, four hundred eighty-four thousand, two hundred twenty-four".