34354016641 has 24 divisors (see below), whose sum is σ = 41459383680. Its totient is φ = 27881361216.

The previous prime is 34354016597. The next prime is 34354016651. The reversal of 34354016641 is 14661045343.

It is not a de Polignac number, because 34354016641 - 2⁹ = 34354016129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34354016641.

It is not an unprimeable number, because it can be changed into a prime (34354016651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9113005 + ... + 9116773.

It is an arithmetic number, because the mean of its divisors is an integer number (1727474320).

Almost surely, 2^34354016641 is an apocalyptic number.

It is an amenable number.

34354016641 is a deficient number, since it is larger than the sum of its proper divisors (7105367039).

34354016641 is a wasteful number, since it uses less digits than its factorization.

34354016641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7421 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 34354016641 in words is "thirty-four billion, three hundred fifty-four million, sixteen thousand, six hundred forty-one".