3679557468741 has 48 divisors (see below), whose sum is σ = 6626652888960. Its totient is φ = 1911382364160.

The previous prime is 3679557468731. The next prime is 3679557468749. The reversal of 3679557468741 is 1478647559763.

3679557468741 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 5 + 574 + 6 + 8 + 7 + 41 = 666.

3679557468741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3679557468741 - 2⁹ = 3679557468229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3679557468741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3679557468749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20111965 + ... + 20294093.

It is an arithmetic number, because the mean of its divisors is an integer number (138055268520).

Almost surely, 2^{3679557468741} is an apocalyptic number.

It is an amenable number.

3679557468741 is a deficient number, since it is larger than the sum of its proper divisors (2947095420219).

3679557468741 is a wasteful number, since it uses less digits than its factorization.

3679557468741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211306 (or 211303 counting only the distinct ones).

The product of its digits is 1066867200, while the sum is 72.

The spelling of 3679557468741 in words is "three trillion, six hundred seventy-nine billion, five hundred fifty-seven million, four hundred sixty-eight thousand, seven hundred forty-one".