3662112 has 48 divisors (see below), whose sum is σ = 9882432. Its totient is φ = 1186560.

The previous prime is 3662111. The next prime is 3662119. The reversal of 3662112 is 2112663.

It is a happy number.

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

It is a super-2 number, since 2×3662112² = 26822128601088, which contains 22 as substring.

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 (3662111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3037 + ... + 4067.

It is an arithmetic number, because the mean of its divisors is an integer number (205884).

Almost surely, 2^3662112 is an apocalyptic number.

3662112 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 3662112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941216).

3662112 is an abundant number, since it is smaller than the sum of its proper divisors (6220320).

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

3662112 is a wasteful number, since it uses less digits than its factorization.

3662112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1073 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 3662112 is about 1913.6645474064. The cubic root of 3662112 is about 154.1382914744.

Adding to 3662112 its reverse (2112663), we get a palindrome (5774775).

The spelling of 3662112 in words is "three million, six hundred sixty-two thousand, one hundred twelve".