3982539000 has 512 divisors, whose sum is σ = 14880153600. Its totient is φ = 875520000.

The previous prime is 3982538957. The next prime is 3982539007. The reversal of 3982539000 is 9352893.

It is a self number, because there is not a number n which added to its sum of digits gives 3982539000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982539007) 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 127 ways as a sum of consecutive naturals, for example, 17390886 + ... + 17391114.

It is an arithmetic number, because the mean of its divisors is an integer number (29062800).

Almost surely, 2^3982539000 is an apocalyptic number.

3982539000 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 3982539000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440076800).

3982539000 is an abundant number, since it is smaller than the sum of its proper divisors (10897614600).

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

3982539000 is a wasteful number, since it uses less digits than its factorization.

3982539000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 3982539000 is about 63107.3609018790. The cubic root of 3982539000 is about 1585.0878820269.

It can be divided in two parts, 398253 and 9000, that added together give a triangular number (407253 = T₉₀₂).

The spelling of 3982539000 in words is "three billion, nine hundred eighty-two million, five hundred thirty-nine thousand".