3668112 has 80 divisors (see below), whose sum is σ = 12042880. Its totient is φ = 1047168.

The previous prime is 3668099. The next prime is 3668117. The reversal of 3668112 is 2118663.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (3668117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2418 + ... + 3630.

It is an arithmetic number, because the mean of its divisors is an integer number (150536).

Almost surely, 2^3668112 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 3668112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021440).

3668112 is an abundant number, since it is smaller than the sum of its proper divisors (8374768).

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

3668112 is a wasteful number, since it uses less digits than its factorization.

3668112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1225 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3668112 is about 1915.2315786870. The cubic root of 3668112 is about 154.2224255413. Note that the first 3 decimals are identical.

The spelling of 3668112 in words is "three million, six hundred sixty-eight thousand, one hundred twelve".