3681408 has 32 divisors (see below), whose sum is σ = 9779760. Its totient is φ = 1227008.

The previous prime is 3681407. The next prime is 3681413. The reversal of 3681408 is 8041863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (3681407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4410 + ... + 5177.

Almost surely, 2^3681408 is an apocalyptic number.

It is an amenable number.

3681408 is an abundant number, since it is smaller than the sum of its proper divisors (6098352).

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

3681408 is an equidigital number, since it uses as much as digits as its factorization.

3681408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9604 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3681408 is about 1918.6995595976. The cubic root of 3681408 is about 154.4085402491.

The spelling of 3681408 in words is "three million, six hundred eighty-one thousand, four hundred eight".