3543516218880 has 1280 divisors, whose sum is σ = 14482773043200. Its totient is φ = 812824657920.

The previous prime is 3543516218873. The next prime is 3543516218887. The reversal of 3543516218880 is 888126153453.

3543516218880 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 5 + 1 + 621 + 8 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3543516218873) and next prime (3543516218887).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3543516218880² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3543516218887) 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 127 ways as a sum of consecutive naturals, for example, 1696272876 + ... + 1696274964.

It is an arithmetic number, because the mean of its divisors is an integer number (11314666440).

Almost surely, 2^{3543516218880} is an apocalyptic number.

3543516218880 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 3543516218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241386521600).

3543516218880 is an abundant number, since it is smaller than the sum of its proper divisors (10939256824320).

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

3543516218880 is a wasteful number, since it uses less digits than its factorization.

3543516218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 3543516218880 in words is "three trillion, five hundred forty-three billion, five hundred sixteen million, two hundred eighteen thousand, eight hundred eighty".