3985932384 has 576 divisors, whose sum is σ = 14491975680. Its totient is φ = 1014266880.

The previous prime is 3985932371. The next prime is 3985932397. The reversal of 3985932384 is 4832395893.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3985932371) and next prime (3985932397).

It is a self number, because there is not a number n which added to its sum of digits gives 3985932384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67558147 + ... + 67558205.

It is an arithmetic number, because the mean of its divisors is an integer number (25159680).

Almost surely, 2^3985932384 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 3985932384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245987840).

3985932384 is an abundant number, since it is smaller than the sum of its proper divisors (10506043296).

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

3985932384 is a wasteful number, since it uses less digits than its factorization.

3985932384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 3985932384 is about 63134.2409790440. The cubic root of 3985932384 is about 1585.5379537760.

The spelling of 3985932384 in words is "three billion, nine hundred eighty-five million, nine hundred thirty-two thousand, three hundred eighty-four".