3681824 has 12 divisors (see below), whose sum is σ = 7248654. Its totient is φ = 1840896.

The previous prime is 3681823. The next prime is 3681827. The reversal of 3681824 is 4281863.

It can be written as a sum of positive squares in only one way, i.e., 3610000 + 71824 = 1900^2 + 268^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 115057 = 3681824 / (3 + 6 + 8 + 1 + 8 + 2 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57497 + ... + 57560.

Almost surely, 2^3681824 is an apocalyptic number.

It is an amenable number.

3681824 is a deficient number, since it is larger than the sum of its proper divisors (3566830).

3681824 is a wasteful number, since it uses less digits than its factorization.

3681824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115067 (or 115059 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 3681824 is about 1918.8079632939. The cubic root of 3681824 is about 154.4143560975.

The spelling of 3681824 in words is "three million, six hundred eighty-one thousand, eight hundred twenty-four".