3982355520 has 224 divisors, whose sum is σ = 14854976640. Its totient is φ = 891125760.

The previous prime is 3982355513. The next prime is 3982355551. The reversal of 3982355520 is 255532893.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 122776 + ... + 151784.

It is an arithmetic number, because the mean of its divisors is an integer number (66316860).

Almost surely, 2^3982355520 is an apocalyptic number.

3982355520 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 3982355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7427488320).

3982355520 is an abundant number, since it is smaller than the sum of its proper divisors (10872621120).

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

3982355520 is a wasteful number, since it uses less digits than its factorization.

3982355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29053 (or 29043 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 3982355520 is about 63105.9071719914. The cubic root of 3982355520 is about 1585.0635393993.

The spelling of 3982355520 in words is "three billion, nine hundred eighty-two million, three hundred fifty-five thousand, five hundred twenty".