3681900 has 54 divisors (see below), whose sum is σ = 11543532. Its totient is φ = 981600.

The previous prime is 3681889. The next prime is 3681917. The reversal of 3681900 is 91863.

3681900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3681900² = 27112775220000, which contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1146 + ... + 2945.

Almost surely, 2^3681900 is an apocalyptic number.

3681900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3681900 is an abundant number, since it is smaller than the sum of its proper divisors (7861632).

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

3681900 is a wasteful number, since it uses less digits than its factorization.

3681900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3681900 is about 1918.8277671537. The cubic root of 3681900 is about 154.4154185610.

The spelling of 3681900 in words is "three million, six hundred eighty-one thousand, nine hundred".