3580209060120 has 1024 divisors, whose sum is σ = 15229513728000. Its totient is φ = 726601881600.

The previous prime is 3580209060083. The next prime is 3580209060139. The reversal of 3580209060120 is 210609020853.

3580209060120 is a `hidden beast` number, since 3 + 5 + 8 + 0 + 20 + 9 + 0 + 601 + 20 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 643572459 + ... + 643578021.

It is an arithmetic number, because the mean of its divisors is an integer number (14872572000).

Almost surely, 2^{3580209060120} is an apocalyptic number.

3580209060120 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 3580209060120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614756864000).

3580209060120 is an abundant number, since it is smaller than the sum of its proper divisors (11649304667880).

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

3580209060120 is a wasteful number, since it uses less digits than its factorization.

3580209060120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 3580209060120 in words is "three trillion, five hundred eighty billion, two hundred nine million, sixty thousand, one hundred twenty".