3927936 has 64 divisors (see below), whose sum is σ = 10685520. Its totient is φ = 1277952.

The previous prime is 3927929. The next prime is 3927941. The reversal of 3927936 is 6397293.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3927894 and 3927903.

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 7 ways as a sum of consecutive naturals, for example, 20256 + ... + 20448.

Almost surely, 2^3927936 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 3927936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342760).

3927936 is an abundant number, since it is smaller than the sum of its proper divisors (6757584).

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

3927936 is a wasteful number, since it uses less digits than its factorization.

3927936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 3927936 is about 1981.9021166546. The cubic root of 3927936 is about 157.7810351477.

The spelling of 3927936 in words is "three million, nine hundred twenty-seven thousand, nine hundred thirty-six".