3581345617920 has 2592 divisors, whose sum is σ = 15984610256160. Its totient is φ = 737563115520.

The previous prime is 3581345617781. The next prime is 3581345617921. The reversal of 3581345617920 is 297165431853.

It is a happy number.

3581345617920 is a `hidden beast` number, since 3 + 5 + 8 + 1 + 3 + 4 + 561 + 79 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3581345617921) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 87349893100 + ... + 87349893140.

It is an arithmetic number, because the mean of its divisors is an integer number (6166902105).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3581345617920 = 7162691235840, but 3⋅3581345617920 = 10744036853760 is not.

Almost surely, 2^{3581345617920} is an apocalyptic number.

3581345617920 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 3581345617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992305128080).

3581345617920 is an abundant number, since it is smaller than the sum of its proper divisors (12403264638240).

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

3581345617920 is a wasteful number, since it uses less digits than its factorization.

3581345617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3581345617920 in words is "three trillion, five hundred eighty-one billion, three hundred forty-five million, six hundred seventeen thousand, nine hundred twenty".