3983605920 has 1008 divisors, whose sum is σ = 17803632168. Its totient is φ = 836075520.

The previous prime is 3983605919. The next prime is 3983605933. The reversal of 3983605920 is 295063893.

3983605920 is a `hidden beast` number, since 39 + 8 + 3 + 605 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2721082896 + 1262523024 = 52164^2 + 35532^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3983605920² = 31738232251718092800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 97161100 + ... + 97161140.

Almost surely, 2^3983605920 is an apocalyptic number.

3983605920 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 3983605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8901816084).

3983605920 is an abundant number, since it is smaller than the sum of its proper divisors (13820026248).

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

3983605920 is a wasteful number, since it uses less digits than its factorization.

3983605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3983605920 is about 63115.8135493792. The cubic root of 3983605920 is about 1585.2294174448.

The spelling of 3983605920 in words is "three billion, nine hundred eighty-three million, six hundred five thousand, nine hundred twenty".