3642112 has 36 divisors (see below), whose sum is σ = 7468776. Its totient is φ = 1771520.

The previous prime is 3642101. The next prime is 3642157. The reversal of 3642112 is 2112463.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3642112.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10323 + ... + 10669.

It is an arithmetic number, because the mean of its divisors is an integer number (207466).

Almost surely, 2^3642112 is an apocalyptic number.

3642112 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 3642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734388).

3642112 is an abundant number, since it is smaller than the sum of its proper divisors (3826664).

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

3642112 is an equidigital number, since it uses as much as digits as its factorization.

3642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 3642112 is about 1908.4318169639. The cubic root of 3642112 is about 153.8571791073.

Adding to 3642112 its reverse (2112463), we get a palindrome (5754575).

The spelling of 3642112 in words is "three million, six hundred forty-two thousand, one hundred twelve".