3800414181667 has 2 divisors, whose sum is σ = 3800414181668. Its totient is φ = 3800414181666.

The previous prime is 3800414181611. The next prime is 3800414181671. The reversal of 3800414181667 is 7661814140083.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3800414181667 - 2²³ = 3800405793059 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3800414181667.

It is not a weakly prime, because it can be changed into another prime (3800414181467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1900207090833 + 1900207090834.

It is an arithmetic number, because the mean of its divisors is an integer number (1900207090834).

Almost surely, 2^{3800414181667} is an apocalyptic number.

3800414181667 is a deficient number, since it is larger than the sum of its proper divisors (1).

3800414181667 is an equidigital number, since it uses as much as digits as its factorization.

3800414181667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 3800414181667 in words is "three trillion, eight hundred billion, four hundred fourteen million, one hundred eighty-one thousand, six hundred sixty-seven".