3989556480000 has 1920 divisors, whose sum is σ = 16763658912000. Its totient is φ = 838139904000.

The previous prime is 3989556479989. The next prime is 3989556480001. The reversal of 3989556480000 is 846559893.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989556480001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 17122559884 + ... + 17122560116.

It is an arithmetic number, because the mean of its divisors is an integer number (8731072350).

Almost surely, 2^{3989556480000} is an apocalyptic number.

3989556480000 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 3989556480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8381829456000).

3989556480000 is an abundant number, since it is smaller than the sum of its proper divisors (12774102432000).

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

3989556480000 is an equidigital number, since it uses as much as digits as its factorization.

3989556480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 3989556480000 in words is "three trillion, nine hundred eighty-nine billion, five hundred fifty-six million, four hundred eighty thousand".