3781936 has 40 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 1759296.

The previous prime is 3781909. The next prime is 3781951. The reversal of 3781936 is 6391873.

3781936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3781895 and 3781904.

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, 15705 + ... + 15943.

It is an arithmetic number, because the mean of its divisors is an integer number (196416).

Almost surely, 2^3781936 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 3781936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

3781936 is an abundant number, since it is smaller than the sum of its proper divisors (4074704).

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

3781936 is a wasteful number, since it uses less digits than its factorization.

3781936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 3781936 is about 1944.7200312641. The cubic root of 3781936 is about 155.8014128779.

The spelling of 3781936 in words is "three million, seven hundred eighty-one thousand, nine hundred thirty-six".