34534768403641 has 27 divisors (see below), whose sum is σ = 38072516173167. Its totient is φ = 31302216966240.

The previous prime is 34534768403621. The next prime is 34534768403669. The reversal of 34534768403641 is 14630486743543.

It is a happy number.

The square root of 34534768403641 is 5876629.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9820984484025 + 24713783919616 = 3133845^2 + 4971296^2 .

It is not a de Polignac number, because 34534768403641 - 2⁹ = 34534768403129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34534768403621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31481101005 + ... + 31481102101.

Almost surely, 2^{34534768403641} is an apocalyptic number.

34534768403641 is the 5876629-th square number.

34534768403641 is the 2938315-th centered octagonal number.

It is an amenable number.

34534768403641 is a deficient number, since it is larger than the sum of its proper divisors (3537747769526).

34534768403641 is an frugal number, since it uses more digits than its factorization.

34534768403641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 58.

The spelling of 34534768403641 in words is "thirty-four trillion, five hundred thirty-four billion, seven hundred sixty-eight million, four hundred three thousand, six hundred forty-one".