34400016349 has 16 divisors (see below), whose sum is σ = 35435119104. Its totient is φ = 33374592000.

The previous prime is 34400016317. The next prime is 34400016367. The reversal of 34400016349 is 94361000443.

It is a cyclic number.

It is not a de Polignac number, because 34400016349 - 2⁵ = 34400016317 is a prime.

It is a super-2 number, since 2×34400016349² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400016149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13265197 + ... + 13267789.

It is an arithmetic number, because the mean of its divisors is an integer number (2214694944).

Almost surely, 2^34400016349 is an apocalyptic number.

It is an amenable number.

34400016349 is a deficient number, since it is larger than the sum of its proper divisors (1035102755).

34400016349 is a wasteful number, since it uses less digits than its factorization.

34400016349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 34400016349 in words is "thirty-four billion, four hundred million, sixteen thousand, three hundred forty-nine".