3666384 has 120 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 1140480.

The previous prime is 3666371. The next prime is 3666409. The reversal of 3666384 is 4836663.

It is a super-3 number, since 3×3666384³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 89404 + ... + 89444.

Almost surely, 2^3666384 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 3666384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

3666384 is an abundant number, since it is smaller than the sum of its proper divisors (7707888).

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

3666384 is a wasteful number, since it uses less digits than its factorization.

3666384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3666384 is about 1914.7804051640. The cubic root of 3666384 is about 154.1982043425.

The spelling of 3666384 in words is "three million, six hundred sixty-six thousand, three hundred eighty-four".