3401000441 has 2 divisors, whose sum is σ = 3401000442. Its totient is φ = 3401000440.

The previous prime is 3401000413. The next prime is 3401000443. The reversal of 3401000441 is 1440001043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3295219216 + 105781225 = 57404^2 + 10285^2 .

It is a cyclic number.

It is not a de Polignac number, because 3401000441 - 2¹⁰ = 3400999417 is a prime.

Together with 3401000443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3401000443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700500220 + 1700500221.

It is an arithmetic number, because the mean of its divisors is an integer number (1700500221).

Almost surely, 2^3401000441 is an apocalyptic number.

It is an amenable number.

3401000441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3401000441 is an equidigital number, since it uses as much as digits as its factorization.

3401000441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3401000441 is about 58318.0970282810. The cubic root of 3401000441 is about 1503.8420677931.

Adding to 3401000441 its reverse (1440001043), we get a palindrome (4841001484).

The spelling of 3401000441 in words is "three billion, four hundred one million, four hundred forty-one", and thus it is an aban number.