3984120000 has 1120 divisors, whose sum is σ = 18282147840. Its totient is φ = 829440000.

The previous prime is 3984119981. The next prime is 3984120001. The reversal of 3984120000 is 214893.

3984120000 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 (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3984120001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 128519985 + ... + 128520015.

Almost surely, 2^3984120000 is an apocalyptic number.

3984120000 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 3984120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141073920).

3984120000 is an abundant number, since it is smaller than the sum of its proper divisors (14298027840).

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

3984120000 is a wasteful number, since it uses less digits than its factorization.

3984120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3984120000 is about 63119.8859314559. The cubic root of 3984120000 is about 1585.2976052210.

Adding to 3984120000 its reverse (214893), we get a palindrome (3984334893).

The spelling of 3984120000 in words is "three billion, nine hundred eighty-four million, one hundred twenty thousand".