3580042209408 has 320 divisors, whose sum is σ = 12187578870720. Its totient is φ = 1021910722560.

The previous prime is 3580042209343. The next prime is 3580042209409. The reversal of 3580042209408 is 8049022400853.

3580042209408 is a `hidden beast` number, since 3 + 580 + 0 + 4 + 2 + 20 + 9 + 40 + 8 = 666.

It is a super-3 number, since 3×3580042209408³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3580042209409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79303003 + ... + 79348133.

It is an arithmetic number, because the mean of its divisors is an integer number (38086183971).

Almost surely, 2^{3580042209408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3580042209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093789435360).

3580042209408 is an abundant number, since it is smaller than the sum of its proper divisors (8607536661312).

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

3580042209408 is a wasteful number, since it uses less digits than its factorization.

3580042209408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46257 (or 46236 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3580042209408 in words is "three trillion, five hundred eighty billion, forty-two million, two hundred nine thousand, four hundred eight".