3696768 has 48 divisors (see below), whose sum is σ = 10641150. Its totient is φ = 1231872.

The previous prime is 3696761. The next prime is 3696779. The reversal of 3696768 is 8676963.

It can be written as a sum of positive squares in only one way, i.e., 3069504 + 627264 = 1752^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3696761) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 453 + ... + 2756.

Almost surely, 2^3696768 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 3696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320575).

3696768 is an abundant number, since it is smaller than the sum of its proper divisors (6944382).

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

3696768 is a wasteful number, since it uses less digits than its factorization.

3696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3214 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3696768 is about 1922.6981042275. The cubic root of 3696768 is about 154.6229893844.

The spelling of 3696768 in words is "three million, six hundred ninety-six thousand, seven hundred sixty-eight".