3520581304320 has 640 divisors, whose sum is σ = 12677172187680. Its totient is φ = 934705889280.

The previous prime is 3520581304313. The next prime is 3520581304369. The reversal of 3520581304320 is 234031850253.

3520581304320 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 581 + 30 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 4127293014 + ... + 4127293866.

Almost surely, 2^{3520581304320} is an apocalyptic number.

3520581304320 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 3520581304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338586093840).

3520581304320 is an abundant number, since it is smaller than the sum of its proper divisors (9156590883360).

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

3520581304320 is an frugal number, since it uses more digits than its factorization.

3520581304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 3520581304320 in words is "three trillion, five hundred twenty billion, five hundred eighty-one million, three hundred four thousand, three hundred twenty".