3989210860800 has 3888 divisors, whose sum is σ = 18221413129920. Its totient is φ = 858370867200.

The previous prime is 3989210860781. The next prime is 3989210860807. The reversal of 3989210860800 is 80680129893.

It is a happy number.

3989210860800 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 21 + 0 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989210860807) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 92772345579 + ... + 92772345621.

Almost surely, 2^{3989210860800} is an apocalyptic number.

3989210860800 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 3989210860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110706564960).

3989210860800 is an abundant number, since it is smaller than the sum of its proper divisors (14232202269120).

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

3989210860800 is a wasteful number, since it uses less digits than its factorization.

3989210860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 3989210860800 in words is "three trillion, nine hundred eighty-nine billion, two hundred ten million, eight hundred sixty thousand, eight hundred".