3966384 has 20 divisors (see below), whose sum is σ = 10246616. Its totient is φ = 1322112.

The previous prime is 3966349. The next prime is 3966407. The reversal of 3966384 is 4836693.

3966384 = T₁₅₉ + T₁₆₀ + ... + T₃₀₂.

It is a super-3 number, since 3×3966384³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41269 + ... + 41364.

Almost surely, 2^3966384 is an apocalyptic number.

It is an amenable number.

3966384 is an abundant number, since it is smaller than the sum of its proper divisors (6280232).

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

3966384 is a wasteful number, since it uses less digits than its factorization.

3966384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82644 (or 82638 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 3966384 is about 1991.5782686101. The cubic root of 3966384 is about 158.2941696920.

The spelling of 3966384 in words is "three million, nine hundred sixty-six thousand, three hundred eighty-four".