3785936 has 60 divisors (see below), whose sum is σ = 9329760. Its totient is φ = 1471680.

The previous prime is 3785927. The next prime is 3785939. The reversal of 3785936 is 6395873.

It is a super-2 number, since 2×3785936² = 28666622792192, which contains 22 as substring.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 3785893 and 3785902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8405 + ... + 8843.

It is an arithmetic number, because the mean of its divisors is an integer number (155496).

Almost surely, 2^3785936 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 3785936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664880).

3785936 is an abundant number, since it is smaller than the sum of its proper divisors (5543824).

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

3785936 is a wasteful number, since it uses less digits than its factorization.

3785936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its digits is 136080, while the sum is 41.

The square root of 3785936 is about 1945.7481851463. The cubic root of 3785936 is about 155.8563217982.

The spelling of 3785936 in words is "three million, seven hundred eighty-five thousand, nine hundred thirty-six".