3682100 has 18 divisors (see below), whose sum is σ = 7990374. Its totient is φ = 1472800.

The previous prime is 3682079. The next prime is 3682103. The reversal of 3682100 is 12863.

3682100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 3587236 = 308^2 + 1894^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18311 + ... + 18510.

Almost surely, 2^3682100 is an apocalyptic number.

It is an amenable number.

3682100 is an abundant number, since it is smaller than the sum of its proper divisors (4308274).

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

3682100 is a wasteful number, since it uses less digits than its factorization.

3682100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36835 (or 36828 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3682100 is about 1918.8798815976. The cubic root of 3682100 is about 154.4182144476.

Adding to 3682100 its reverse (12863), we get a palindrome (3694963).

The spelling of 3682100 in words is "three million, six hundred eighty-two thousand, one hundred".