3681351546777 has 24 divisors (see below), whose sum is σ = 5405198989320. Its totient is φ = 2413769230080.

The previous prime is 3681351546749. The next prime is 3681351546809. The reversal of 3681351546777 is 7776451531863.

3681351546777 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 3 + 515 + 46 + 7 + 77 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 156585612681 + 3524765934096 = 395709^2 + 1877436^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3681351546777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3681351546727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5496733 + ... + 6129989.

It is an arithmetic number, because the mean of its divisors is an integer number (225216624555).

Almost surely, 2^{3681351546777} is an apocalyptic number.

It is an amenable number.

3681351546777 is a deficient number, since it is larger than the sum of its proper divisors (1723847442543).

3681351546777 is a wasteful number, since it uses less digits than its factorization.

3681351546777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643913 (or 643910 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 63.

The spelling of 3681351546777 in words is "three trillion, six hundred eighty-one billion, three hundred fifty-one million, five hundred forty-six thousand, seven hundred seventy-seven".