3681100 has 36 divisors (see below), whose sum is σ = 8077608. Its totient is φ = 1456000.

The previous prime is 3681059. The next prime is 3681113. The reversal of 3681100 is 11863.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12960 + ... + 13240.

It is an arithmetic number, because the mean of its divisors is an integer number (224378).

Almost surely, 2^3681100 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 3681100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038804).

3681100 is an abundant number, since it is smaller than the sum of its proper divisors (4396508).

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

3681100 is a wasteful number, since it uses less digits than its factorization.

3681100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 3681100 is about 1918.6192952225. The cubic root of 3681100 is about 154.4042340020.

Adding to 3681100 its reverse (11863), we get a palindrome (3692963).

The spelling of 3681100 in words is "three million, six hundred eighty-one thousand, one hundred".