3695667264 has 189 divisors, whose sum is σ = 11328760807. Its totient is φ = 1151643648.

The previous prime is 3695667259. The next prime is 3695667299. The reversal of 3695667264 is 4627665963.

The square root of 3695667264 is 60792.

It is a perfect power (a square), and thus also a powerful number.

3695667264 is a `hidden beast` number, since 3 + 6 + 9 + 566 + 72 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72590400 + 3623076864 = 8520^2 + 60192^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3695667264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24803062 + ... + 24803210.

Almost surely, 2^3695667264 is an apocalyptic number.

3695667264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3695667264 is the 60792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3695667264

3695667264 is an abundant number, since it is smaller than the sum of its proper divisors (7633093543).

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

3695667264 is a wasteful number, since it uses less digits than its factorization.

3695667264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 171 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The cubic root of 3695667264 is about 1546.0764120401.

The spelling of 3695667264 in words is "three billion, six hundred ninety-five million, six hundred sixty-seven thousand, two hundred sixty-four".