3667810820049 has 128 divisors (see below), whose sum is σ = 5671709568000. Its totient is φ = 2341003991040.

The previous prime is 3667810820039. The next prime is 3667810820071. The reversal of 3667810820049 is 9400280187663.

3667810820049 is a `hidden beast` number, since 366 + 78 + 1 + 0 + 8 + 200 + 4 + 9 = 666.

It is not a de Polignac number, because 3667810820049 - 2⁸ = 3667810819793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3667810819977 and 3667810820004.

It is not an unprimeable number, because it can be changed into a prime (3667810820039) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5983377867 + ... + 5983378479.

It is an arithmetic number, because the mean of its divisors is an integer number (44310231000).

Almost surely, 2^{3667810820049} is an apocalyptic number.

It is an amenable number.

3667810820049 is a deficient number, since it is larger than the sum of its proper divisors (2003898747951).

3667810820049 is a wasteful number, since it uses less digits than its factorization.

3667810820049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3667810820049 in words is "three trillion, six hundred sixty-seven billion, eight hundred ten million, eight hundred twenty thousand, forty-nine".