3917936 has 40 divisors (see below), whose sum is σ = 8396784. Its totient is φ = 1756160.

The previous prime is 3917923. The next prime is 3917989. The reversal of 3917936 is 6397193.

3917936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3917936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19790 + ... + 19986.

Almost surely, 2^3917936 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 3917936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198392).

3917936 is an abundant number, since it is smaller than the sum of its proper divisors (4478848).

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

3917936 is a wasteful number, since it uses less digits than its factorization.

3917936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its digits is 30618, while the sum is 38.

The square root of 3917936 is about 1979.3776799792. The cubic root of 3917936 is about 157.6470248844.

The spelling of 3917936 in words is "three million, nine hundred seventeen thousand, nine hundred thirty-six".