3696008 has 32 divisors (see below), whose sum is σ = 7387200. Its totient is φ = 1729728.

The previous prime is 3696001. The next prime is 3696019. The reversal of 3696008 is 8006963.

3696008 = 13⁴ + 14⁴ + ... + 28⁴.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3696001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9563 + ... + 9941.

It is an arithmetic number, because the mean of its divisors is an integer number (230850).

Almost surely, 2^3696008 is an apocalyptic number.

It is an amenable number.

3696008 is a deficient number, since it is larger than the sum of its proper divisors (3691192).

3696008 is a wasteful number, since it uses less digits than its factorization.

3696008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 3696008 is about 1922.5004551365. The cubic root of 3696008 is about 154.6123926031.

The spelling of 3696008 in words is "three million, six hundred ninety-six thousand, eight".