3643538085055 has 8 divisors (see below), whose sum is σ = 4769722584144. Its totient is φ = 2649845880000.

The previous prime is 3643538085037. The next prime is 3643538085067. The reversal of 3643538085055 is 5505808353463.

3643538085055 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3643538085055 - 2²³ = 3643529696447 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55), and also a Moran number because the ratio is a prime number: 66246147001 = 3643538085055 / (3 + 6 + 4 + 3 + 5 + 3 + 8 + 0 + 8 + 5 + 0 + 5 + 5).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3643538084987 and 3643538085005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33123073446 + ... + 33123073555.

It is an arithmetic number, because the mean of its divisors is an integer number (596215323018).

Almost surely, 2^{3643538085055} is an apocalyptic number.

3643538085055 is a deficient number, since it is larger than the sum of its proper divisors (1126184499089).

3643538085055 is a wasteful number, since it uses less digits than its factorization.

3643538085055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66246147017.

The product of its (nonzero) digits is 25920000, while the sum is 55.

The spelling of 3643538085055 in words is "three trillion, six hundred forty-three billion, five hundred thirty-eight million, eighty-five thousand, fifty-five".