3727936 has 28 divisors (see below), whose sum is σ = 7640320. Its totient is φ = 1802880.

The previous prime is 3727903. The next prime is 3727937. The reversal of 3727936 is 6397273.

It is a junction number, because it is equal to n+sod(n) for n = 3727895 and 3727904.

It is not an unprimeable number, because it can be changed into a prime (3727937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1045 + ... + 2923.

Almost surely, 2^3727936 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 3727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820160).

3727936 is an abundant number, since it is smaller than the sum of its proper divisors (3912384).

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

3727936 is a wasteful number, since it uses less digits than its factorization.

3727936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1912 counting only the distinct ones).

The product of its digits is 47628, while the sum is 37.

The square root of 3727936 is about 1930.7863682966. The cubic root of 3727936 is about 155.0563236168.

The spelling of 3727936 in words is "three million, seven hundred twenty-seven thousand, nine hundred thirty-six".