3626112 has 128 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 967680.

The previous prime is 3626099. The next prime is 3626113. The reversal of 3626112 is 2116263.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 (3626113) 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, 51037 + ... + 51107.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

Almost surely, 2^3626112 is an apocalyptic number.

3626112 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 3626112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

3626112 is an abundant number, since it is smaller than the sum of its proper divisors (8124288).

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

3626112 is a wasteful number, since it uses less digits than its factorization.

3626112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

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

The square root of 3626112 is about 1904.2352795808. The cubic root of 3626112 is about 153.6315473396.

The spelling of 3626112 in words is "three million, six hundred twenty-six thousand, one hundred twelve".