34041346261 has 64 divisors (see below), whose sum is σ = 40523535360. Its totient is φ = 28310446080.

The previous prime is 34041346253. The next prime is 34041346267. The reversal of 34041346261 is 16264314043.

It is a cyclic number.

It is not a de Polignac number, because 34041346261 - 2³ = 34041346253 is a prime.

It is a super-2 number, since 2×34041346261² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041346267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121143441 + ... + 121143721.

It is an arithmetic number, because the mean of its divisors is an integer number (633180240).

Almost surely, 2^34041346261 is an apocalyptic number.

It is an amenable number.

34041346261 is a deficient number, since it is larger than the sum of its proper divisors (6482189099).

34041346261 is a wasteful number, since it uses less digits than its factorization.

34041346261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 34041346261 in words is "thirty-four billion, forty-one million, three hundred forty-six thousand, two hundred sixty-one".