3580890120976 has 135 divisors (see below), whose sum is σ = 8520230979189. Its totient is φ = 1453486495104.

The previous prime is 3580890120953. The next prime is 3580890121007. The reversal of 3580890120976 is 6790210980853.

The square root of 3580890120976 is 1892324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 438694275600 + 3142195845376 = 662340^2 + 1772624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3580890120976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1006714590 + ... + 1006718146.

Almost surely, 2^{3580890120976} is an apocalyptic number.

3580890120976 is the 1892324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3580890120976

3580890120976 is an abundant number, since it is smaller than the sum of its proper divisors (4939340858213).

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

3580890120976 is an frugal number, since it uses more digits than its factorization.

3580890120976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 3580890120976 in words is "three trillion, five hundred eighty billion, eight hundred ninety million, one hundred twenty thousand, nine hundred seventy-six".