3682016 has 48 divisors (see below), whose sum is σ = 8001504. Its totient is φ = 1657344.

The previous prime is 3681967. The next prime is 3682031. The reversal of 3682016 is 6102863.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21965 + ... + 22131.

It is an arithmetic number, because the mean of its divisors is an integer number (166698).

Almost surely, 2^3682016 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 3682016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000752).

3682016 is an abundant number, since it is smaller than the sum of its proper divisors (4319488).

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

3682016 is a wasteful number, since it uses less digits than its factorization.

3682016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3682016 is about 1918.8579937035. The cubic root of 3682016 is about 154.4170401876.

Adding to 3682016 its reverse (6102863), we get a palindrome (9784879).

The spelling of 3682016 in words is "three million, six hundred eighty-two thousand, sixteen".