3682656 has 72 divisors (see below), whose sum is σ = 11040120. Its totient is φ = 1161216.

The previous prime is 3682643. The next prime is 3682667. The reversal of 3682656 is 6562863.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3682656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5136 + ... + 5808.

It is an arithmetic number, because the mean of its divisors is an integer number (153335).

Almost surely, 2^3682656 is an apocalyptic number.

3682656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520060).

3682656 is an abundant number, since it is smaller than the sum of its proper divisors (7357464).

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

3682656 is a wasteful number, since it uses less digits than its factorization.

3682656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3682656 is about 1919.0247523156. The cubic root of 3682656 is about 154.4259864804.

The spelling of 3682656 in words is "three million, six hundred eighty-two thousand, six hundred fifty-six".