3688265268 has 36 divisors (see below), whose sum is σ = 9324961828. Its totient is φ = 1229178240.

The previous prime is 3688265267. The next prime is 3688265279. The reversal of 3688265268 is 8625628863.

3688265268 is a `hidden beast` number, since 36 + 8 + 82 + 6 + 526 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2015291664 + 1672973604 = 44892^2 + 40902^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3688265268² = 27206601374270223648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688265261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334158 + ... + 345018.

Almost surely, 2^3688265268 is an apocalyptic number.

It is an amenable number.

3688265268 is an abundant number, since it is smaller than the sum of its proper divisors (5636696560).

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

3688265268 is a wasteful number, since it uses less digits than its factorization.

3688265268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20304 (or 20299 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 3688265268 is about 60731.0897975658. The cubic root of 3688265268 is about 1545.0435177990.

The spelling of 3688265268 in words is "three billion, six hundred eighty-eight million, two hundred sixty-five thousand, two hundred sixty-eight".