3766656 has 64 divisors (see below), whose sum is σ = 10612080. Its totient is φ = 1179648.

The previous prime is 3766613. The next prime is 3766663. The reversal of 3766656 is 6566673.

It is a tau number, because it is divible by the number of its divisors (64).

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, 6240 + ... + 6816.

Almost surely, 2^3766656 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 3766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306040).

3766656 is an abundant number, since it is smaller than the sum of its proper divisors (6845424).

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

3766656 is a wasteful number, since it uses less digits than its factorization.

3766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 3766656 is about 1940.7874690445. The cubic root of 3766656 is about 155.5913036511.

It can be divided in two parts, 3 and 766656, that multiplied together give a cube (2299968 = 132³).

The spelling of 3766656 in words is "three million, seven hundred sixty-six thousand, six hundred fifty-six".