3681972 has 72 divisors (see below), whose sum is σ = 11211200. Its totient is φ = 995328.

The previous prime is 3681967. The next prime is 3682031. The reversal of 3681972 is 2791863.

3681972 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 4404 + ... + 5172.

Almost surely, 2^3681972 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 3681972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605600).

3681972 is an abundant number, since it is smaller than the sum of its proper divisors (7529228).

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

3681972 is a wasteful number, since it uses less digits than its factorization.

3681972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 800 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3681972 is about 1918.8465285165. The cubic root of 3681972 is about 154.4164250918.

The spelling of 3681972 in words is "three million, six hundred eighty-one thousand, nine hundred seventy-two".