3647945385 has 36 divisors (see below), whose sum is σ = 7355453508. Its totient is φ = 1667631168.

The previous prime is 3647945309. The next prime is 3647945387. The reversal of 3647945385 is 5835497463.

3647945385 is a `hidden beast` number, since 36 + 4 + 79 + 4 + 538 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1876882329 + 1771063056 = 43323^2 + 42084^2 .

It is not a de Polignac number, because 3647945385 - 2¹⁴ = 3647929001 is a prime.

It is a super-3 number, since 3×3647945385³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3647945387) 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 35 ways as a sum of consecutive naturals, for example, 824994 + ... + 829403.

It is an arithmetic number, because the mean of its divisors is an integer number (204318153).

Almost surely, 2^3647945385 is an apocalyptic number.

3647945385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3647945385 is an abundant number, since it is smaller than the sum of its proper divisors (3707508123).

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

3647945385 is a wasteful number, since it uses less digits than its factorization.

3647945385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654422 (or 1654412 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 3647945385 is about 60398.2233596320. The cubic root of 3647945385 is about 1539.3927702396.

The spelling of 3647945385 in words is "three billion, six hundred forty-seven million, nine hundred forty-five thousand, three hundred eighty-five".