34022580401 has 2 divisors, whose sum is σ = 34022580402. Its totient is φ = 34022580400.

The previous prime is 34022580391. The next prime is 34022580433. The reversal of 34022580401 is 10408522043.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27357490801 + 6665089600 = 165401^2 + 81640^2 .

It is a cyclic number.

It is not a de Polignac number, because 34022580401 - 2¹⁸ = 34022318257 is a prime.

It is not a weakly prime, because it can be changed into another prime (34022280401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17011290200 + 17011290201.

It is an arithmetic number, because the mean of its divisors is an integer number (17011290201).

Almost surely, 2^34022580401 is an apocalyptic number.

It is an amenable number.

34022580401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34022580401 is an equidigital number, since it uses as much as digits as its factorization.

34022580401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 34022580401 in words is "thirty-four billion, twenty-two million, five hundred eighty thousand, four hundred one".