3659171106816 has 507 divisors, whose sum is σ = 11250407328973. Its totient is φ = 1189974343680.

The previous prime is 3659171106803. The next prime is 3659171106869. The reversal of 3659171106816 is 6186011719563.

The square root of 3659171106816 is 1912896.

It is a perfect power (a square), and thus also a powerful number.

3659171106816 is a `hidden beast` number, since 36 + 591 + 7 + 1 + 1 + 0 + 6 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 176319369216 + 3482851737600 = 419904^2 + 1866240^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 89248075756 + ... + 89248075796.

Almost surely, 2^{3659171106816} is an apocalyptic number.

3659171106816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3659171106816 is the 1912896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3659171106816

3659171106816 is an abundant number, since it is smaller than the sum of its proper divisors (7591236222157).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3659171106816 is an frugal number, since it uses more digits than its factorization.

3659171106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 3659171106816 in words is "three trillion, six hundred fifty-nine billion, one hundred seventy-one million, one hundred six thousand, eight hundred sixteen".