3984288000 has 864 divisors, whose sum is σ = 16963564800. Its totient is φ = 827904000.

The previous prime is 3984287969. The next prime is 3984288019. The reversal of 3984288000 is 8824893.

It is a happy number.

3984288000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362207995 + ... + 362208005.

Almost surely, 2^3984288000 is an apocalyptic number.

3984288000 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 3984288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481782400).

3984288000 is an abundant number, since it is smaller than the sum of its proper divisors (12979276800).

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

3984288000 is an equidigital number, since it uses as much as digits as its factorization.

3984288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 3984288000 is about 63121.2167183111. The cubic root of 3984288000 is about 1585.3198875363.

The spelling of 3984288000 in words is "three billion, nine hundred eighty-four million, two hundred eighty-eight thousand".