34035144129 has 24 divisors (see below), whose sum is σ = 56195211072. Its totient is φ = 19445119200.

The previous prime is 34035144127. The next prime is 34035144131. The reversal of 34035144129 is 92144153043.

It is an interprime number because it is at equal distance from previous prime (34035144127) and next prime (34035144131).

It is not a de Polignac number, because 34035144129 - 2¹ = 34035144127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34035144093 and 34035144102.

It is not an unprimeable number, because it can be changed into a prime (34035144127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322447 + ... + 414779.

It is an arithmetic number, because the mean of its divisors is an integer number (2341467128).

Almost surely, 2^34035144129 is an apocalyptic number.

It is an amenable number.

34035144129 is a deficient number, since it is larger than the sum of its proper divisors (22160066943).

34035144129 is a wasteful number, since it uses less digits than its factorization.

34035144129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98197 (or 98194 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34035144129 in words is "thirty-four billion, thirty-five million, one hundred forty-four thousand, one hundred twenty-nine".