3183936 has 112 divisors (see below), whose sum is σ = 10143744. Its totient is φ = 861696.

The previous prime is 3183923. The next prime is 3183941. The reversal of 3183936 is 6393813.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×3183936⁴ (a number of 27 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3183897 and 3183906.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30861 + ... + 30963.

Almost surely, 2^3183936 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 3183936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071872).

3183936 is an abundant number, since it is smaller than the sum of its proper divisors (6959808).

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

3183936 is a wasteful number, since it uses less digits than its factorization.

3183936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 3183936 is about 1784.3587083319. The cubic root of 3183936 is about 147.1142616646.

The spelling of 3183936 in words is "three million, one hundred eighty-three thousand, nine hundred thirty-six".