3882736 has 40 divisors (see below), whose sum is σ = 8843184. Its totient is φ = 1628160.

The previous prime is 3882733. The next prime is 3882737. The reversal of 3882736 is 6372883.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3882695 and 3882704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1440 + ... + 3136.

Almost surely, 2^3882736 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 3882736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421592).

3882736 is an abundant number, since it is smaller than the sum of its proper divisors (4960448).

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

3882736 is a wasteful number, since it uses less digits than its factorization.

3882736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1723 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 3882736 is about 1970.4659347474. The cubic root of 3882736 is about 157.1734866701.

The spelling of 3882736 in words is "three million, eight hundred eighty-two thousand, seven hundred thirty-six".