3985542144 has 308 divisors, whose sum is σ = 12618772440. Its totient is φ = 1254113280.

The previous prime is 3985542139. The next prime is 3985542149. The reversal of 3985542144 is 4412455893.

3985542144 is a `hidden beast` number, since 3 + 98 + 5 + 542 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3985542139) and next prime (3985542149).

It is a self number, because there is not a number n which added to its sum of digits gives 3985542144.

It is not an unprimeable number, because it can be changed into a prime (3985542149) 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 27 ways as a sum of consecutive naturals, for example, 14183284 + ... + 14183564.

Almost surely, 2^3985542144 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 3985542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309386220).

3985542144 is an abundant number, since it is smaller than the sum of its proper divisors (8633230296).

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

3985542144 is an equidigital number, since it uses as much as digits as its factorization.

3985542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 305 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 3985542144 is about 63131.1503459267. The cubic root of 3985542144 is about 1585.4862084155.

The spelling of 3985542144 in words is "three billion, nine hundred eighty-five million, five hundred forty-two thousand, one hundred forty-four".