3680377501761 has 63 divisors (see below), whose sum is σ = 5659176509497. Its totient is φ = 2392360194240.

The previous prime is 3680377501751. The next prime is 3680377501777. The reversal of 3680377501761 is 1671057730863.

The square root of 3680377501761 is 1918431.

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

3680377501761 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 3 + 77 + 501 + 7 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1242544943025 + 2437832558736 = 1114695^2 + 1561356^2 .

It is not a de Polignac number, because 3680377501761 - 2⁵ = 3680377501729 is a prime.

It is a super-2 number, since 2×3680377501761² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3680377501698 and 3680377501707.

It is not an unprimeable number, because it can be changed into a prime (3680377501751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2123702251 + ... + 2123703983.

Almost surely, 2^{3680377501761} is an apocalyptic number.

3680377501761 is the 1918431-st square number.

3680377501761 is the 959216-th centered octagonal number.

It is an amenable number.

3680377501761 is a deficient number, since it is larger than the sum of its proper divisors (1978799007736).

3680377501761 is an frugal number, since it uses more digits than its factorization.

3680377501761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 3680377501761 in words is "three trillion, six hundred eighty billion, three hundred seventy-seven million, five hundred one thousand, seven hundred sixty-one".