3661344 has 36 divisors (see below), whose sum is σ = 10412766. Its totient is φ = 1220352.

The previous prime is 3661327. The next prime is 3661367. The reversal of 3661344 is 4431663.

3661344 is a `hidden beast` number, since 3 + 6 + 613 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2250000 + 1411344 = 1500^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6069 + ... + 6644.

Almost surely, 2^3661344 is an apocalyptic number.

It is an amenable number.

3661344 is an abundant number, since it is smaller than the sum of its proper divisors (6751422).

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

3661344 is a wasteful number, since it uses less digits than its factorization.

3661344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12729 (or 12718 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3661344 is about 1913.4638747570. The cubic root of 3661344 is about 154.1275156813.

It can be divided in two parts, 3661 and 344, that added together give a triangular number (4005 = T₈₉).

The spelling of 3661344 in words is "three million, six hundred sixty-one thousand, three hundred forty-four".