3682824 has 32 divisors (see below), whose sum is σ = 9270720. Its totient is φ = 1219136.

The previous prime is 3682823. The next prime is 3682837. The reversal of 3682824 is 4282863.

It is a super-2 number, since 2×3682824² = 27126385229952, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3682823) 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 7 ways as a sum of consecutive naturals, for example, 3709 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (289710).

Almost surely, 2^3682824 is an apocalyptic number.

It is an amenable number.

3682824 is an abundant number, since it is smaller than the sum of its proper divisors (5587896).

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

3682824 is a wasteful number, since it uses less digits than its factorization.

3682824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1065 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 3682824 is about 1919.0685240501. The cubic root of 3682824 is about 154.4283347105.

The spelling of 3682824 in words is "three million, six hundred eighty-two thousand, eight hundred twenty-four".