3518479930560 has 1792 divisors, whose sum is σ = 14663172096000. Its totient is φ = 698030161920.

The previous prime is 3518479930547. The next prime is 3518479930571. The reversal of 3518479930560 is 650399748153.

3518479930560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3518479930494 and 3518479930503.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44537720601 + ... + 44537720679.

Almost surely, 2^{3518479930560} is an apocalyptic number.

3518479930560 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 3518479930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331586048000).

3518479930560 is an abundant number, since it is smaller than the sum of its proper divisors (11144692165440).

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

3518479930560 is a wasteful number, since it uses less digits than its factorization.

3518479930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 3518479930560 in words is "three trillion, five hundred eighteen billion, four hundred seventy-nine million, nine hundred thirty thousand, five hundred sixty".