34031411261 has 16 divisors (see below), whose sum is σ = 35026992000. Its totient is φ = 33044121600.

The previous prime is 34031411251. The next prime is 34031411299. The reversal of 34031411261 is 16211413043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34031411261 - 2²² = 34027216957 is a prime.

It is a super-2 number, since 2×34031411261² (a number of 22 digits) contains 22 as substring.

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 34031411261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34031411201) 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, 8079446 + ... + 8083656.

It is an arithmetic number, because the mean of its divisors is an integer number (2189187000).

Almost surely, 2^34031411261 is an apocalyptic number.

It is an amenable number.

34031411261 is a deficient number, since it is larger than the sum of its proper divisors (995580739).

34031411261 is a wasteful number, since it uses less digits than its factorization.

34031411261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 34031411261 in words is "thirty-four billion, thirty-one million, four hundred eleven thousand, two hundred sixty-one".