3836288 has 64 divisors (see below), whose sum is σ = 8482320. Its totient is φ = 1720320.

The previous prime is 3836279. The next prime is 3836291. The reversal of 3836288 is 8826383.

3836288 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 89195 + ... + 89237.

Almost surely, 2^3836288 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 3836288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241160).

3836288 is an abundant number, since it is smaller than the sum of its proper divisors (4646032).

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

3836288 is a wasteful number, since it uses less digits than its factorization.

3836288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 3836288 is about 1958.6444291908. The cubic root of 3836288 is about 156.5442310852.

The spelling of 3836288 in words is "three million, eight hundred thirty-six thousand, two hundred eighty-eight".