3998565504 has 384 divisors, whose sum is σ = 12831436800. Its totient is φ = 1190246400.

The previous prime is 3998565491. The next prime is 3998565509. The reversal of 3998565504 is 4055658993.

It is a happy number.

3998565504 is a `hidden beast` number, since 3 + 9 + 9 + 85 + 6 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3998565509) 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 47 ways as a sum of consecutive naturals, for example, 48175447 + ... + 48175529.

It is an arithmetic number, because the mean of its divisors is an integer number (33415200).

Almost surely, 2^3998565504 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 3998565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

3998565504 is an abundant number, since it is smaller than the sum of its proper divisors (8832871296).

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

3998565504 is a wasteful number, since it uses less digits than its factorization.

3998565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The square root of 3998565504 is about 63234.2114997886. The cubic root of 3998565504 is about 1587.2112692412.

The spelling of 3998565504 in words is "three billion, nine hundred ninety-eight million, five hundred sixty-five thousand, five hundred four".