3641564816 has 20 divisors (see below), whose sum is σ = 7062528252. Its totient is φ = 1818976896.

The previous prime is 3641564813. The next prime is 3641564819. The reversal of 3641564816 is 6184651463.

3641564816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3641564813) and next prime (3641564819).

It can be written as a sum of positive squares in 2 ways, for example, as 1893990400 + 1747574416 = 43520^2 + 41804^2 .

It is a super-2 number, since 2×3641564816² = 26521988618258227712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3641564813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96131 + ... + 128546.

Almost surely, 2^3641564816 is an apocalyptic number.

It is an amenable number.

3641564816 is a deficient number, since it is larger than the sum of its proper divisors (3420963436).

3641564816 is a wasteful number, since it uses less digits than its factorization.

3641564816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225698 (or 225692 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 3641564816 is about 60345.3794088661. The cubic root of 3641564816 is about 1538.4947365113.

The spelling of 3641564816 in words is "three billion, six hundred forty-one million, five hundred sixty-four thousand, eight hundred sixteen".