3813328 has 20 divisors (see below), whose sum is σ = 7569828. Its totient is φ = 1859840.

The previous prime is 3813323. The next prime is 3813349. The reversal of 3813328 is 8233183.

It can be written as a sum of positive squares in 2 ways, for example, as 1227664 + 2585664 = 1108^2 + 1608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3813296 and 3813305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2251 + ... + 3562.

Almost surely, 2^3813328 is an apocalyptic number.

It is an amenable number.

3813328 is a deficient number, since it is larger than the sum of its proper divisors (3756500).

3813328 is a wasteful number, since it uses less digits than its factorization.

3813328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 5856 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 3813328 is about 1952.7744365389. The cubic root of 3813328 is about 156.2313027227.

It can be divided in two parts, 38 and 13328, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 3813328 in words is "three million, eight hundred thirteen thousand, three hundred twenty-eight".