3766224 has 80 divisors (see below), whose sum is σ = 12142080. Its totient is φ = 977280.

The previous prime is 3766223. The next prime is 3766229. The reversal of 3766224 is 4226673.

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

It is a junction number, because it is equal to n+sod(n) for n = 3766191 and 3766200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3187 + ... + 4205.

It is an arithmetic number, because the mean of its divisors is an integer number (151776).

Almost surely, 2^3766224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3766224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071040).

3766224 is an abundant number, since it is smaller than the sum of its proper divisors (8375856).

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

3766224 is a wasteful number, since it uses less digits than its factorization.

3766224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 3766224 is about 1940.6761708229. The cubic root of 3766224 is about 155.5853551375.

The spelling of 3766224 in words is "three million, seven hundred sixty-six thousand, two hundred twenty-four".