34547406401 has 2 divisors, whose sum is σ = 34547406402. Its totient is φ = 34547406400.

The previous prime is 34547406391. The next prime is 34547406463. The reversal of 34547406401 is 10460474543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32062483600 + 2484922801 = 179060^2 + 49849^2 .

It is a cyclic number.

It is not a de Polignac number, because 34547406401 - 2⁶ = 34547406337 is a prime.

It is not a weakly prime, because it can be changed into another prime (34547405401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17273703200 + 17273703201.

It is an arithmetic number, because the mean of its divisors is an integer number (17273703201).

Almost surely, 2^34547406401 is an apocalyptic number.

It is an amenable number.

34547406401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34547406401 is an equidigital number, since it uses as much as digits as its factorization.

34547406401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 34547406401 in words is "thirty-four billion, five hundred forty-seven million, four hundred six thousand, four hundred one".