3985889767200 has 864 divisors, whose sum is σ = 15648596675712. Its totient is φ = 946520064000.

The previous prime is 3985889767169. The next prime is 3985889767217. The reversal of 3985889767200 is 27679885893.

3985889767200 is a `hidden beast` number, since 39 + 8 + 588 + 9 + 7 + 6 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1270604032 + ... + 1270607168.

It is an arithmetic number, because the mean of its divisors is an integer number (18111801708).

Almost surely, 2^{3985889767200} is an apocalyptic number.

3985889767200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3985889767200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7824298337856).

3985889767200 is an abundant number, since it is smaller than the sum of its proper divisors (11662706908512).

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

3985889767200 is a wasteful number, since it uses less digits than its factorization.

3985889767200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 3985889767200 in words is "three trillion, nine hundred eighty-five billion, eight hundred eighty-nine million, seven hundred sixty-seven thousand, two hundred".