3682896 has 80 divisors (see below), whose sum is σ = 11082624. Its totient is φ = 1032192.

The previous prime is 3682891. The next prime is 3682927. The reversal of 3682896 is 6982863.

3682896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32536 + ... + 32648.

Almost surely, 2^3682896 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 3682896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541312).

3682896 is an abundant number, since it is smaller than the sum of its proper divisors (7399728).

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

3682896 is a wasteful number, since it uses less digits than its factorization.

3682896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 3682896 is about 1919.0872830593. The cubic root of 3682896 is about 154.4293410730.

The spelling of 3682896 in words is "three million, six hundred eighty-two thousand, eight hundred ninety-six".