3984088032000 has 864 divisors, whose sum is σ = 14914428669504. Its totient is φ = 1059028992000.

The previous prime is 3984088031947. The next prime is 3984088032007. The reversal of 3984088032000 is 2308804893.

3984088032000 is a `hidden beast` number, since 39 + 8 + 408 + 8 + 0 + 3 + 200 + 0 = 666.

3984088032000 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 (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3984088032007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3273695392 + ... + 3273696608.

Almost surely, 2^{3984088032000} is an apocalyptic number.

3984088032000 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 3984088032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7457214334752).

3984088032000 is an abundant number, since it is smaller than the sum of its proper divisors (10930340637504).

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

3984088032000 is an equidigital number, since it uses as much as digits as its factorization.

3984088032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 3984088032000 in words is "three trillion, nine hundred eighty-four billion, eighty-eight million, thirty-two thousand".