3643177476961 has 4 divisors (see below), whose sum is σ = 3974375429424. Its totient is φ = 3311979524500.

The previous prime is 3643177476959. The next prime is 3643177476971. The reversal of 3643177476961 is 1696747713463.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 3643177476961 - 2¹ = 3643177476959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3643177476893 and 3643177476902.

It is not an unprimeable number, because it can be changed into a prime (3643177476901) 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 3 ways as a sum of consecutive naturals, for example, 165598976215 + ... + 165598976236.

It is an arithmetic number, because the mean of its divisors is an integer number (993593857356).

Almost surely, 2^{3643177476961} is an apocalyptic number.

It is an amenable number.

3643177476961 is a deficient number, since it is larger than the sum of its proper divisors (331197952463).

3643177476961 is a wasteful number, since it uses less digits than its factorization.

3643177476961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331197952462.

The product of its digits is 96018048, while the sum is 64.

The spelling of 3643177476961 in words is "three trillion, six hundred forty-three billion, one hundred seventy-seven million, four hundred seventy-six thousand, nine hundred sixty-one".