3667144 has 32 divisors (see below), whose sum is σ = 7612920. Its totient is φ = 1645056.

The previous prime is 3667141. The next prime is 3667159. The reversal of 3667144 is 4417663.

It can be written as a sum of positive squares in 4 ways, for example, as 3104644 + 562500 = 1762^2 + 750^2 .

It is not an unprimeable number, because it can be changed into a prime (3667141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3372 + ... + 4324.

Almost surely, 2^3667144 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 3667144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806460).

3667144 is an abundant number, since it is smaller than the sum of its proper divisors (3945776).

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

3667144 is a wasteful number, since it uses less digits than its factorization.

3667144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1005 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 3667144 is about 1914.9788510582. The cubic root of 3667144 is about 154.2088581219.

The spelling of 3667144 in words is "three million, six hundred sixty-seven thousand, one hundred forty-four".