3676838516775 has 48 divisors (see below), whose sum is σ = 6754970466720. Its totient is φ = 1960840627200.

The previous prime is 3676838516731. The next prime is 3676838516783. The reversal of 3676838516775 is 5776158386763.

3676838516775 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 8 + 38 + 516 + 7 + 75 = 666.

It is not a de Polignac number, because 3676838516775 - 2¹⁰ = 3676838515751 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9641629 + ... + 10015721.

It is an arithmetic number, because the mean of its divisors is an integer number (140728551390).

Almost surely, 2^{3676838516775} is an apocalyptic number.

3676838516775 is a deficient number, since it is larger than the sum of its proper divisors (3078131949945).

3676838516775 is a wasteful number, since it uses less digits than its factorization.

3676838516775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388673 (or 388662 counting only the distinct ones).

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

The spelling of 3676838516775 in words is "three trillion, six hundred seventy-six billion, eight hundred thirty-eight million, five hundred sixteen thousand, seven hundred seventy-five".