3982506560 has 112 divisors (see below), whose sum is σ = 9608880960. Its totient is φ = 1572096000.

The previous prime is 3982506553. The next prime is 3982506569. The reversal of 3982506560 is 656052893.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3982506569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14377142 + ... + 14377418.

It is an arithmetic number, because the mean of its divisors is an integer number (85793580).

Almost surely, 2^3982506560 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 3982506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804440480).

3982506560 is an abundant number, since it is smaller than the sum of its proper divisors (5626374400).

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

3982506560 is a wasteful number, since it uses less digits than its factorization.

3982506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The square root of 3982506560 is about 63107.1038790404. The cubic root of 3982506560 is about 1585.0835782071.

The spelling of 3982506560 in words is "three billion, nine hundred eighty-two million, five hundred six thousand, five hundred sixty".