3407067040681 has 2 divisors, whose sum is σ = 3407067040682. Its totient is φ = 3407067040680.

The previous prime is 3407067040673. The next prime is 3407067040687. The reversal of 3407067040681 is 1860407607043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2041300845081 + 1365766195600 = 1428741^2 + 1168660^2 .

It is an emirp because it is prime and its reverse (1860407607043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3407067040681 - 2³ = 3407067040673 is a prime.

It is a super-2 number, since 2×3407067040681² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3407067040687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1703533520340 + 1703533520341.

It is an arithmetic number, because the mean of its divisors is an integer number (1703533520341).

Almost surely, 2^{3407067040681} is an apocalyptic number.

It is an amenable number.

3407067040681 is a deficient number, since it is larger than the sum of its proper divisors (1).

3407067040681 is an equidigital number, since it uses as much as digits as its factorization.

3407067040681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 3407067040681 in words is "three trillion, four hundred seven billion, sixty-seven million, forty thousand, six hundred eighty-one".