3736656 has 120 divisors (see below), whose sum is σ = 13076544. Its totient is φ = 967680.

The previous prime is 3736639. The next prime is 3736669. The reversal of 3736656 is 6566373.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (68040) is a multiple of the sum of its prime divisors (360).

It is a self number, because there is not a number n which added to its sum of digits gives 3736656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10920 + ... + 11256.

Almost surely, 2^3736656 is an apocalyptic number.

3736656 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 3736656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538272).

3736656 is an abundant number, since it is smaller than the sum of its proper divisors (9339888).

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

3736656 is a wasteful number, since it uses less digits than its factorization.

3736656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 360 counting only the distinct ones).

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

The square root of 3736656 is about 1933.0431966203. The cubic root of 3736656 is about 155.1771266819.

The spelling of 3736656 in words is "three million, seven hundred thirty-six thousand, six hundred fifty-six".