3983616000 has 1152 divisors, whose sum is σ = 18602438400. Its totient is φ = 796262400.

The previous prime is 3983615983. The next prime is 3983616011. The reversal of 3983616000 is 6163893.

It is a happy number.

3983616000 is a `hidden beast` number, since 39 + 8 + 3 + 616 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 209663991 + ... + 209664009.

It is an arithmetic number, because the mean of its divisors is an integer number (16147950).

Almost surely, 2^3983616000 is an apocalyptic number.

3983616000 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 3983616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9301219200).

3983616000 is an abundant number, since it is smaller than the sum of its proper divisors (14618822400).

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

3983616000 is a wasteful number, since it uses less digits than its factorization.

3983616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3983616000 is about 63115.8934025337. The cubic root of 3983616000 is about 1585.2307545164.

Adding to 3983616000 its reverse (6163893), we get a palindrome (3989779893).

The spelling of 3983616000 in words is "three billion, nine hundred eighty-three million, six hundred sixteen thousand".