3836928 has 44 divisors (see below), whose sum is σ = 10235000. Its totient is φ = 1277952.

The previous prime is 3836927. The next prime is 3836941. The reversal of 3836928 is 8296383.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3836927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2448 + ... + 3696.

Almost surely, 2^3836928 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 3836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117500).

3836928 is an abundant number, since it is smaller than the sum of its proper divisors (6398072).

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

3836928 is a wasteful number, since it uses less digits than its factorization.

3836928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1254 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3836928 is about 1958.8078006788. The cubic root of 3836928 is about 156.5529359180.

The spelling of 3836928 in words is "three million, eight hundred thirty-six thousand, nine hundred twenty-eight".