3684352 has 48 divisors (see below), whose sum is σ = 8452080. Its totient is φ = 1572864.

The previous prime is 3684337. The next prime is 3684353. The reversal of 3684352 is 2534863.

3684352 is nontrivially palindromic in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684353) 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, 14208 + ... + 14464.

It is an arithmetic number, because the mean of its divisors is an integer number (176085).

Almost surely, 2^3684352 is an apocalyptic number.

3684352 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 3684352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226040).

3684352 is an abundant number, since it is smaller than the sum of its proper divisors (4767728).

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

3684352 is an equidigital number, since it uses as much as digits as its factorization.

3684352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 266 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 3684352 is about 1919.4665925720. The cubic root of 3684352 is about 154.4496891448.

The spelling of 3684352 in words is "three million, six hundred eighty-four thousand, three hundred fifty-two".