3661944 has 96 divisors (see below), whose sum is σ = 10948560. Its totient is φ = 1013760.

The previous prime is 3661943. The next prime is 3661949. The reversal of 3661944 is 4491663.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37704 + ... + 37800.

Almost surely, 2^3661944 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 3661944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474280).

3661944 is an abundant number, since it is smaller than the sum of its proper divisors (7286616).

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

3661944 is a wasteful number, since it uses less digits than its factorization.

3661944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 3661944 is about 1913.6206520625. The cubic root of 3661944 is about 154.1359343984.

It can be divided in two parts, 36619 and 44, that added together give a palindrome (36663).

The spelling of 3661944 in words is "three million, six hundred sixty-one thousand, nine hundred forty-four".