3982318560 has 384 divisors, whose sum is σ = 15322245120. Its totient is φ = 958003200.

The previous prime is 3982318519. The next prime is 3982318567. The reversal of 3982318560 is 658132893.

It is a happy number.

3982318560 is a `hidden beast` number, since 3 + 9 + 82 + 3 + 1 + 8 + 560 = 666.

It is a super-2 number, since 2×3982318560² = 31717722226640947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982318567) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8600889 + ... + 8601351.

It is an arithmetic number, because the mean of its divisors is an integer number (39901680).

Almost surely, 2^3982318560 is an apocalyptic number.

3982318560 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 3982318560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7661122560).

3982318560 is an abundant number, since it is smaller than the sum of its proper divisors (11339926560).

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

3982318560 is a wasteful number, since it uses less digits than its factorization.

3982318560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3982318560 is about 63105.6143302638. The cubic root of 3982318560 is about 1585.0586357580.

The spelling of 3982318560 in words is "three billion, nine hundred eighty-two million, three hundred eighteen thousand, five hundred sixty".