3681144 has 96 divisors (see below), whose sum is σ = 10810800. Its totient is φ = 1128960.

The previous prime is 3681131. The next prime is 3681149. The reversal of 3681144 is 4411863.

3681144 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 2×3681144² = 27101642297472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 85587 + ... + 85629.

Almost surely, 2^3681144 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 3681144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405400).

3681144 is an abundant number, since it is smaller than the sum of its proper divisors (7129656).

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

3681144 is a wasteful number, since it uses less digits than its factorization.

3681144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3681144 is about 1918.6307617674. The cubic root of 3681144 is about 154.4048491949.

The spelling of 3681144 in words is "three million, six hundred eighty-one thousand, one hundred forty-four".