3581873871840 has 288 divisors, whose sum is σ = 13436136185472. Its totient is φ = 861704064000.

The previous prime is 3581873871811. The next prime is 3581873871889. The reversal of 3581873871840 is 481783781853.

3581873871840 is a `hidden beast` number, since 3 + 581 + 8 + 7 + 3 + 8 + 7 + 1 + 8 + 40 = 666.

3581873871840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1211955 + ... + 2938125.

It is an arithmetic number, because the mean of its divisors is an integer number (46653250644).

Almost surely, 2^{3581873871840} is an apocalyptic number.

3581873871840 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 3581873871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718068092736).

3581873871840 is an abundant number, since it is smaller than the sum of its proper divisors (9854262313632).

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

3581873871840 is a wasteful number, since it uses less digits than its factorization.

3581873871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726334 (or 1726323 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 3581873871840 in words is "three trillion, five hundred eighty-one billion, eight hundred seventy-three million, eight hundred seventy-one thousand, eight hundred forty".