3982100 has 18 divisors (see below), whose sum is σ = 8641374. Its totient is φ = 1592800.

The previous prime is 3982079. The next prime is 3982117. The reversal of 3982100 is 12893.

It can be written as a sum of positive squares in 3 ways, for example, as 425104 + 3556996 = 652^2 + 1886^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19811 + ... + 20010.

Almost surely, 2^3982100 is an apocalyptic number.

It is an amenable number.

3982100 is an abundant number, since it is smaller than the sum of its proper divisors (4659274).

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

3982100 is a wasteful number, since it uses less digits than its factorization.

3982100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39835 (or 39828 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 3982100 is about 1995.5199823605. The cubic root of 3982100 is about 158.5029637847.

Adding to 3982100 its reverse (12893), we get a palindrome (3994993).

The spelling of 3982100 in words is "three million, nine hundred eighty-two thousand, one hundred".