34345510241 has 16 divisors (see below), whose sum is σ = 39411529728. Its totient is φ = 29319483600.

The previous prime is 34345510163. The next prime is 34345510259. The reversal of 34345510241 is 14201554343.

It is a cyclic number.

It is not a de Polignac number, because 34345510241 - 2³⁰ = 33271768417 is a prime.

It is a super-2 number, since 2×34345510241² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34345510198 and 34345510207.

It is not an unprimeable number, because it can be changed into a prime (34345510841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5288006 + ... + 5294496.

It is an arithmetic number, because the mean of its divisors is an integer number (2463220608).

Almost surely, 2^34345510241 is an apocalyptic number.

It is an amenable number.

34345510241 is a deficient number, since it is larger than the sum of its proper divisors (5066019487).

34345510241 is a wasteful number, since it uses less digits than its factorization.

34345510241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9452.

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 34345510241 in words is "thirty-four billion, three hundred forty-five million, five hundred ten thousand, two hundred forty-one".