3813936 has 40 divisors (see below), whose sum is σ = 11261184. Its totient is φ = 1089600.

The previous prime is 3813913. The next prime is 3813941. The reversal of 3813936 is 6393183.

It is a super-3 number, since 3×3813936³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3813897 and 3813906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5340 + ... + 6011.

Almost surely, 2^3813936 is an apocalyptic number.

It is an amenable number.

3813936 is an abundant number, since it is smaller than the sum of its proper divisors (7447248).

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

3813936 is a wasteful number, since it uses less digits than its factorization.

3813936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11369 (or 11363 counting only the distinct ones).

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

The square root of 3813936 is about 1952.9301062762. The cubic root of 3813936 is about 156.2396054952.

The spelling of 3813936 in words is "three million, eight hundred thirteen thousand, nine hundred thirty-six".