3006641635281 has 16 divisors (see below), whose sum is σ = 4549055904000. Its totient is φ = 1961780356944.

The previous prime is 3006641635279. The next prime is 3006641635297. The reversal of 3006641635281 is 1825361466003.

3006641635281 is a `hidden beast` number, since 3 + 0 + 0 + 6 + 6 + 4 + 1 + 635 + 2 + 8 + 1 = 666.

It is not a de Polignac number, because 3006641635281 - 2¹ = 3006641635279 is a prime.

It is a super-2 number, since 2×3006641635281² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3006641631281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184648706 + ... + 1184651243.

It is an arithmetic number, because the mean of its divisors is an integer number (284315994000).

Almost surely, 2^{3006641635281} is an apocalyptic number.

It is an amenable number.

3006641635281 is a deficient number, since it is larger than the sum of its proper divisors (1542414268719).

3006641635281 is a wasteful number, since it uses less digits than its factorization.

3006641635281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369300005 (or 2369299999 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3006641635281 in words is "three trillion, six billion, six hundred forty-one million, six hundred thirty-five thousand, two hundred eighty-one".