3985864960 has 288 divisors, whose sum is σ = 12236136192. Its totient is φ = 1207664640.

The previous prime is 3985864957. The next prime is 3985864991. The reversal of 3985864960 is 694685893.

It is a junction number, because it is equal to n+sod(n) for n = 3985864895 and 3985864904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3646174 + ... + 3647266.

It is an arithmetic number, because the mean of its divisors is an integer number (42486584).

Almost surely, 2^3985864960 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 3985864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118068096).

3985864960 is an abundant number, since it is smaller than the sum of its proper divisors (8250271232).

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

3985864960 is a wasteful number, since it uses less digits than its factorization.

3985864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The square root of 3985864960 is about 63133.7070034700. The cubic root of 3985864960 is about 1585.5290136750.

The spelling of 3985864960 in words is "three billion, nine hundred eighty-five million, eight hundred sixty-four thousand, nine hundred sixty".