3983549900 has 108 divisors (see below), whose sum is σ = 9563361864. Its totient is φ = 1440190400.

The previous prime is 3983549893. The next prime is 3983549953. The reversal of 3983549900 is 99453893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3983549900 is digitally balanced in base 2, because in such base 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 (50).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23026214 + ... + 23026386.

Almost surely, 2^3983549900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3983549900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781680932).

3983549900 is an abundant number, since it is smaller than the sum of its proper divisors (5579811964).

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

3983549900 is a wasteful number, since it uses less digits than its factorization.

3983549900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 50.

The square root of 3983549900 is about 63115.3697604633. The cubic root of 3983549900 is about 1585.2219865752.

The spelling of 3983549900 in words is "three billion, nine hundred eighty-three million, five hundred forty-nine thousand, nine hundred".