3612128 has 48 divisors (see below), whose sum is σ = 8079120. Its totient is φ = 1575936.

The previous prime is 3612121. The next prime is 3612137. The reversal of 3612128 is 8212163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3612121) 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, 7676 + ... + 8132.

It is an arithmetic number, because the mean of its divisors is an integer number (168315).

Almost surely, 2^3612128 is an apocalyptic number.

3612128 is a gapful number since it is divisible by the number (38) 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 3612128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039560).

3612128 is an abundant number, since it is smaller than the sum of its proper divisors (4466992).

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

3612128 is a wasteful number, since it uses less digits than its factorization.

3612128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 3612128 is about 1900.5599174980. The cubic root of 3612128 is about 153.4338009915.

The spelling of 3612128 in words is "three million, six hundred twelve thousand, one hundred twenty-eight".