3481580984 has 32 divisors (see below), whose sum is σ = 7701196800. Its totient is φ = 1443972960.

The previous prime is 3481580981. The next prime is 3481581017. The reversal of 3481580984 is 4890851843.

It is a super-2 number, since 2×3481580984² = 24242812296300816512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481580981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001024 + ... + 1004495.

It is an arithmetic number, because the mean of its divisors is an integer number (240662400).

Almost surely, 2^3481580984 is an apocalyptic number.

It is an amenable number.

3481580984 is an abundant number, since it is smaller than the sum of its proper divisors (4219615816).

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

3481580984 is a wasteful number, since it uses less digits than its factorization.

3481580984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005563 (or 2005559 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The square root of 3481580984 is about 59004.9233877988. The cubic root of 3481580984 is about 1515.6264201093.

The spelling of 3481580984 in words is "three billion, four hundred eighty-one million, five hundred eighty thousand, nine hundred eighty-four".