3581816363520 has 640 divisors, whose sum is σ = 12379652651520. Its totient is φ = 881165598720.

The previous prime is 3581816363491. The next prime is 3581816363551. The reversal of 3581816363520 is 253636181853.

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

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 63 ways as a sum of consecutive naturals, for example, 644556582 + ... + 644562138.

It is an arithmetic number, because the mean of its divisors is an integer number (19343207268).

Almost surely, 2^{3581816363520} is an apocalyptic number.

3581816363520 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 3581816363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189826325760).

3581816363520 is an abundant number, since it is smaller than the sum of its proper divisors (8797836288000).

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

3581816363520 is a wasteful number, since it uses less digits than its factorization.

3581816363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 3581816363520 in words is "three trillion, five hundred eighty-one billion, eight hundred sixteen million, three hundred sixty-three thousand, five hundred twenty".