3521486133360 has 960 divisors, whose sum is σ = 13867512422400. Its totient is φ = 793409789952.

The previous prime is 3521486133353. The next prime is 3521486133433. The reversal of 3521486133360 is 633316841253.

It is a happy number.

3521486133360 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 486 + 133 + 36 + 0 = 666.

3521486133360 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 660317254 + ... + 660322586.

It is an arithmetic number, because the mean of its divisors is an integer number (14445325440).

Almost surely, 2^{3521486133360} is an apocalyptic number.

3521486133360 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 3521486133360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933756211200).

3521486133360 is an abundant number, since it is smaller than the sum of its proper divisors (10346026289040).

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

3521486133360 is a wasteful number, since it uses less digits than its factorization.

3521486133360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3521486133360 in words is "three trillion, five hundred twenty-one billion, four hundred eighty-six million, one hundred thirty-three thousand, three hundred sixty".