3673656 has 96 divisors (see below), whose sum is σ = 11737440. Its totient is φ = 1016064.

The previous prime is 3673651. The next prime is 3673687. The reversal of 3673656 is 6563763.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3673656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18550 + ... + 18746.

It is an arithmetic number, because the mean of its divisors is an integer number (122265).

Almost surely, 2^3673656 is an apocalyptic number.

3673656 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 3673656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868720).

3673656 is an abundant number, since it is smaller than the sum of its proper divisors (8063784).

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

3673656 is a wasteful number, since it uses less digits than its factorization.

3673656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 3673656 is about 1916.6783767758. The cubic root of 3673656 is about 154.3000839056.

The spelling of 3673656 in words is "three million, six hundred seventy-three thousand, six hundred fifty-six".