3786809241601 has 16 divisors (see below), whose sum is σ = 3879374083200. Its totient is φ = 3695404809600.

The previous prime is 3786809241577. The next prime is 3786809241623. The reversal of 3786809241601 is 1061429086873.

3786809241601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3786809241601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3786809241301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7262605 + ... + 7766533.

It is an arithmetic number, because the mean of its divisors is an integer number (242460880200).

Almost surely, 2^{3786809241601} is an apocalyptic number.

It is an amenable number.

3786809241601 is a deficient number, since it is larger than the sum of its proper divisors (92564841599).

3786809241601 is a wasteful number, since it uses less digits than its factorization.

3786809241601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505080.

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 3786809241601 in words is "three trillion, seven hundred eighty-six billion, eight hundred nine million, two hundred forty-one thousand, six hundred one".