3643542009 has 12 divisors (see below), whose sum is σ = 5268879252. Its totient is φ = 2426265600.

The previous prime is 3643541999. The next prime is 3643542013. The reversal of 3643542009 is 9002453463.

3643542009 is a `hidden beast` number, since 3 + 643 + 5 + 4 + 2 + 0 + 0 + 9 = 666.

3643542009 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 411278400 + 3232263609 = 20280^2 + 56853^2 .

It is not a de Polignac number, because 3643542009 - 2⁵ = 3643541977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3643542509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221832 + ... + 237689.

It is an arithmetic number, because the mean of its divisors is an integer number (439073271).

Almost surely, 2^3643542009 is an apocalyptic number.

It is an amenable number.

3643542009 is a deficient number, since it is larger than the sum of its proper divisors (1625337243).

3643542009 is a wasteful number, since it uses less digits than its factorization.

3643542009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460408 (or 460405 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3643542009 is about 60361.7594922481. The cubic root of 3643542009 is about 1538.7731287967.

The spelling of 3643542009 in words is "three billion, six hundred forty-three million, five hundred forty-two thousand, nine".