3838536 has 64 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 1180224.

The previous prime is 3838529. The next prime is 3838561. The reversal of 3838536 is 6358383.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3838536.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2125 + ... + 3491.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^3838536 is an apocalyptic number.

3838536 is a gapful number since it is divisible by the number (36) 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 3838536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

3838536 is an abundant number, since it is smaller than the sum of its proper divisors (7652664).

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

3838536 is a wasteful number, since it uses less digits than its factorization.

3838536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1385 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3838536 is about 1959.2182114303. The cubic root of 3838536 is about 156.5748025400.

The spelling of 3838536 in words is "three million, eight hundred thirty-eight thousand, five hundred thirty-six".