3505044216640 has 112 divisors (see below), whose sum is σ = 8425025476560. Its totient is φ = 1388814336000.

The previous prime is 3505044216637. The next prime is 3505044216743. The reversal of 3505044216640 is 466124405053.

It can be written as a sum of positive squares in 8 ways, for example, as 46694023744 + 3458350192896 = 216088^2 + 1859664^2 .

It is a super-2 number, since 2×3505044216640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3505044216593 and 3505044216602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179726890 + ... + 179746390.

It is an arithmetic number, because the mean of its divisors is an integer number (75223441755).

Almost surely, 2^{3505044216640} 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 3505044216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212512738280).

3505044216640 is an abundant number, since it is smaller than the sum of its proper divisors (4919981259920).

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

3505044216640 is a wasteful number, since it uses less digits than its factorization.

3505044216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24780 (or 24770 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 3505044216640 in words is "three trillion, five hundred five billion, forty-four million, two hundred sixteen thousand, six hundred forty".