3664128 has 72 divisors (see below), whose sum is σ = 10530688. Its totient is φ = 1124352.

The previous prime is 3664117. The next prime is 3664139. The reversal of 3664128 is 8214663.

3664128 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3664117) and next prime (3664139).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3664095 and 3664104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9801 + ... + 10167.

Almost surely, 2^3664128 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 3664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265344).

3664128 is an abundant number, since it is smaller than the sum of its proper divisors (6866560).

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

3664128 is a wasteful number, since it uses less digits than its factorization.

3664128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3664128 is about 1914.1912130192. The cubic root of 3664128 is about 154.1665707653.

The spelling of 3664128 in words is "three million, six hundred sixty-four thousand, one hundred twenty-eight".