3989349504 has 288 divisors, whose sum is σ = 13820168700. Its totient is φ = 1100058624.

The previous prime is 3989349499. The next prime is 3989349541. The reversal of 3989349504 is 4059439893.

3989349504 is a `hidden beast` number, since 3 + 9 + 8 + 93 + 49 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3678179904 + 311169600 = 60648^2 + 17640^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1635774 + ... + 1638210.

Almost surely, 2^3989349504 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 3989349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910084350).

3989349504 is an abundant number, since it is smaller than the sum of its proper divisors (9830819196).

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

3989349504 is a wasteful number, since it uses less digits than its factorization.

3989349504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 3989349504 is about 63161.2975167547. The cubic root of 3989349504 is about 1585.9909156262.

The spelling of 3989349504 in words is "three billion, nine hundred eighty-nine million, three hundred forty-nine thousand, five hundred four".