3989210864000 has 128 divisors (see below), whose sum is σ = 9924519664800. Its totient is φ = 1594663680000.

The previous prime is 3989210863999. The next prime is 3989210864003. The reversal of 3989210864000 is 4680129893.

It is a happy number.

3989210864000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 3989210864000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989210864003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25185050 + ... + 25342950.

Almost surely, 2^{3989210864000} 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 3989210864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962259832400).

3989210864000 is an abundant number, since it is smaller than the sum of its proper divisors (5935308800800).

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

3989210864000 is a wasteful number, since it uses less digits than its factorization.

3989210864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159509 (or 159487 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 3989210864000 in words is "three trillion, nine hundred eighty-nine billion, two hundred ten million, eight hundred sixty-four thousand".