3679181205407 has 2 divisors, whose sum is σ = 3679181205408. Its totient is φ = 3679181205406.

The previous prime is 3679181205367. The next prime is 3679181205409. The reversal of 3679181205407 is 7045021819763.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3679181205407 - 2¹⁴ = 3679181189023 is a prime.

Together with 3679181205409, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3679181205409) 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 as a sum of consecutive naturals, namely, 1839590602703 + 1839590602704.

It is an arithmetic number, because the mean of its divisors is an integer number (1839590602704).

It is a 1-persistent number, because it is pandigital, but 2⋅3679181205407 = 7358362410814 is not.

Almost surely, 2^{3679181205407} is an apocalyptic number.

3679181205407 is a deficient number, since it is larger than the sum of its proper divisors (1).

3679181205407 is an equidigital number, since it uses as much as digits as its factorization.

3679181205407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 3679181205407 in words is "three trillion, six hundred seventy-nine billion, one hundred eighty-one million, two hundred five thousand, four hundred seven".