3985398144 has 288 divisors, whose sum is σ = 14369649840. Its totient is φ = 1050900480.

The previous prime is 3985398133. The next prime is 3985398149. The reversal of 3985398144 is 4418935893.

3985398144 is a `hidden beast` number, since 3 + 98 + 539 + 8 + 14 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985398149) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 731109 + ... + 736539.

Almost surely, 2^3985398144 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 3985398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184824920).

3985398144 is an abundant number, since it is smaller than the sum of its proper divisors (10384251696).

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

3985398144 is a wasteful number, since it uses less digits than its factorization.

3985398144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5456 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 3985398144 is about 63130.0098526842. The cubic root of 3985398144 is about 1585.4671133333.

The spelling of 3985398144 in words is "three billion, nine hundred eighty-five million, three hundred ninety-eight thousand, one hundred forty-four".