3643656161535 has 192 divisors, whose sum is σ = 7420105580160. Its totient is φ = 1685110210560.

The previous prime is 3643656161527. The next prime is 3643656161567. The reversal of 3643656161535 is 5351616563463.

3643656161535 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 6 + 5 + 616 + 15 + 3 + 5 = 666.

It is not a de Polignac number, because 3643656161535 - 2³ = 3643656161527 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54576975 + ... + 54643695.

It is an arithmetic number, because the mean of its divisors is an integer number (38646383230).

Almost surely, 2^{3643656161535} is an apocalyptic number.

3643656161535 is an abundant number, since it is smaller than the sum of its proper divisors (3776449418625).

3643656161535 is a wasteful number, since it uses less digits than its factorization.

3643656161535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66843 (or 66808 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 54.

The spelling of 3643656161535 in words is "three trillion, six hundred forty-three billion, six hundred fifty-six million, one hundred sixty-one thousand, five hundred thirty-five".