3555220818240 has 1120 divisors, whose sum is σ = 15859216074240. Its totient is φ = 735933579264.

The previous prime is 3555220818169. The next prime is 3555220818269. The reversal of 3555220818240 is 428180225553.

3555220818240 is a `hidden beast` number, since 3 + 5 + 5 + 522 + 0 + 8 + 1 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 124997941 + ... + 125026379.

It is an arithmetic number, because the mean of its divisors is an integer number (14160014352).

Almost surely, 2^{3555220818240} is an apocalyptic number.

3555220818240 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 3555220818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7929608037120).

3555220818240 is an abundant number, since it is smaller than the sum of its proper divisors (12303995256000).

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

3555220818240 is a wasteful number, since it uses less digits than its factorization.

3555220818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28541 (or 28522 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 3555220818240 in words is "three trillion, five hundred fifty-five billion, two hundred twenty million, eight hundred eighteen thousand, two hundred forty".