3482086080 has 224 divisors, whose sum is σ = 12128601600. Its totient is φ = 839393280.

The previous prime is 3482086063. The next prime is 3482086093. The reversal of 3482086080 is 806802843.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2100612 + ... + 2102268.

Almost surely, 2^3482086080 is an apocalyptic number.

3482086080 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 3482086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064300800).

3482086080 is an abundant number, since it is smaller than the sum of its proper divisors (8646515520).

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

3482086080 is a wasteful number, since it uses less digits than its factorization.

3482086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 3482086080 is about 59009.2033499860. The cubic root of 3482086080 is about 1515.6997105511.

The spelling of 3482086080 in words is "three billion, four hundred eighty-two million, eighty-six thousand, eighty".