3006412677801 has 81 divisors (see below), whose sum is σ = 4918220699301. Its totient is φ = 1768745474496.

The previous prime is 3006412677757. The next prime is 3006412677841. The reversal of 3006412677801 is 1087762146003.

The square root of 3006412677801 is 1733901.

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

3006412677801 is a `hidden beast` number, since 300 + 6 + 4 + 1 + 267 + 7 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125245917801 + 2881166760000 = 353901^2 + 1697400^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3006412677801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3006412677841) 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 80 ways as a sum of consecutive naturals, for example, 1555308231 + ... + 1555310163.

Almost surely, 2^{3006412677801} is an apocalyptic number.

3006412677801 is the 1733901-st square number.

3006412677801 is the 866951-st centered octagonal number.

It is an amenable number.

3006412677801 is a deficient number, since it is larger than the sum of its proper divisors (1911808021500).

3006412677801 is an equidigital number, since it uses as much as digits as its factorization.

3006412677801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 3006412677801 in words is "three trillion, six billion, four hundred twelve million, six hundred seventy-seven thousand, eight hundred one".