3421234638401 has 2 divisors, whose sum is σ = 3421234638402. Its totient is φ = 3421234638400.

The previous prime is 3421234638391. The next prime is 3421234638427. The reversal of 3421234638401 is 1048364321243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2762825730625 + 658408907776 = 1662175^2 + 811424^2 .

It is a cyclic number.

It is not a de Polignac number, because 3421234638401 - 2¹⁰ = 3421234637377 is a prime.

It is not a weakly prime, because it can be changed into another prime (3421234638301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1710617319200 + 1710617319201.

It is an arithmetic number, because the mean of its divisors is an integer number (1710617319201).

Almost surely, 2^{3421234638401} is an apocalyptic number.

It is an amenable number.

3421234638401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3421234638401 is an equidigital number, since it uses as much as digits as its factorization.

3421234638401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 331776, while the sum is 41.

Adding to 3421234638401 its reverse (1048364321243), we get a palindrome (4469598959644).

The spelling of 3421234638401 in words is "three trillion, four hundred twenty-one billion, two hundred thirty-four million, six hundred thirty-eight thousand, four hundred one".