349541760401 has 2 divisors, whose sum is σ = 349541760402. Its totient is φ = 349541760400.

The previous prime is 349541760371. The next prime is 349541760419. The reversal of 349541760401 is 104067145943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181237518400 + 168304242001 = 425720^2 + 410249^2 .

It is a cyclic number.

It is not a de Polignac number, because 349541760401 - 2²² = 349537566097 is a prime.

It is not a weakly prime, because it can be changed into another prime (349541760461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174770880200 + 174770880201.

It is an arithmetic number, because the mean of its divisors is an integer number (174770880201).

Almost surely, 2^349541760401 is an apocalyptic number.

It is an amenable number.

349541760401 is a deficient number, since it is larger than the sum of its proper divisors (1).

349541760401 is an equidigital number, since it uses as much as digits as its factorization.

349541760401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 349541760401 in words is "three hundred forty-nine billion, five hundred forty-one million, seven hundred sixty thousand, four hundred one".