34035431441 has 16 divisors (see below), whose sum is σ = 39022663680. Its totient is φ = 29383075920.

The previous prime is 34035431401. The next prime is 34035431453. The reversal of 34035431441 is 14413453043.

It is not a de Polignac number, because 34035431441 - 2³⁰ = 32961689617 is a prime.

It is a super-2 number, since 2×34035431441² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34035431398 and 34035431407.

It is not an unprimeable number, because it can be changed into a prime (34035431401) 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 15 ways as a sum of consecutive naturals, for example, 448745 + ... + 519078.

It is an arithmetic number, because the mean of its divisors is an integer number (2438916480).

Almost surely, 2^34035431441 is an apocalyptic number.

It is an amenable number.

34035431441 is a deficient number, since it is larger than the sum of its proper divisors (4987232239).

34035431441 is a wasteful number, since it uses less digits than its factorization.

34035431441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967996.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 34035431441 its reverse (14413453043), we get a palindrome (48448884484).

The spelling of 34035431441 in words is "thirty-four billion, thirty-five million, four hundred thirty-one thousand, four hundred forty-one".