3984100 has 18 divisors (see below), whose sum is σ = 8645714. Its totient is φ = 1593600.

The previous prime is 3984073. The next prime is 3984109. The reversal of 3984100 is 14893.

It can be written as a sum of positive squares in 3 ways, for example, as 79524 + 3904576 = 282^2 + 1976^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3984109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19821 + ... + 20020.

Almost surely, 2^3984100 is an apocalyptic number.

It is an amenable number.

3984100 is an abundant number, since it is smaller than the sum of its proper divisors (4661614).

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

3984100 is a wasteful number, since it uses less digits than its factorization.

3984100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39855 (or 39848 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 3984100 is about 1996.0210419733. The cubic root of 3984100 is about 158.5294952523.

Adding to 3984100 its reverse (14893), we get a palindrome (3998993).

The spelling of 3984100 in words is "three million, nine hundred eighty-four thousand, one hundred".