3681312 has 48 divisors (see below), whose sum is σ = 9983232. Its totient is φ = 1186560.

The previous prime is 3681287. The next prime is 3681319. The reversal of 3681312 is 2131863.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (3681319) 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 7 ways as a sum of consecutive naturals, for example, 2358 + ... + 3594.

It is an arithmetic number, because the mean of its divisors is an integer number (207984).

Almost surely, 2^3681312 is an apocalyptic number.

3681312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3681312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991616).

3681312 is an abundant number, since it is smaller than the sum of its proper divisors (6301920).

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

3681312 is a wasteful number, since it uses less digits than its factorization.

3681312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1273 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 3681312 is about 1918.6745424902. The cubic root of 3681312 is about 154.4071980680.

It can be divided in two parts, 3681 and 312, that added together give a palindrome (3993).

The spelling of 3681312 in words is "three million, six hundred eighty-one thousand, three hundred twelve".