3836832 has 48 divisors (see below), whose sum is σ = 10668672. Its totient is φ = 1203200.

The previous prime is 3836831. The next prime is 3836843. The reversal of 3836832 is 2386383.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3836793 and 3836802.

It is not an unprimeable number, because it can be changed into a prime (3836831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457 + ... + 2807.

It is an arithmetic number, because the mean of its divisors is an integer number (222264).

Almost surely, 2^3836832 is an apocalyptic number.

3836832 is a gapful number since it is divisible by the number (32) 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 3836832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334336).

3836832 is an abundant number, since it is smaller than the sum of its proper divisors (6831840).

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

3836832 is a wasteful number, since it uses less digits than its factorization.

3836832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2373 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3836832 is about 1958.7832958242. The cubic root of 3836832 is about 156.5516302548.

The spelling of 3836832 in words is "three million, eight hundred thirty-six thousand, eight hundred thirty-two".