3985696000 has 432 divisors, whose sum is σ = 11903830848. Its totient is φ = 1317888000.

The previous prime is 3985695941. The next prime is 3985696031. The reversal of 3985696000 is 6965893.

It is a congruent number.

It is an unprimeable number.

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, 59487967 + ... + 59488033.

It is an arithmetic number, because the mean of its divisors is an integer number (27555164).

Almost surely, 2^3985696000 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 3985696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951915424).

3985696000 is an abundant number, since it is smaller than the sum of its proper divisors (7918134848).

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

3985696000 is a wasteful number, since it uses less digits than its factorization.

3985696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 3985696000 is about 63132.3688768289. The cubic root of 3985696000 is about 1585.5066099416.

The spelling of 3985696000 in words is "three billion, nine hundred eighty-five million, six hundred ninety-six thousand".