34235765361 has 120 divisors (see below), whose sum is σ = 59460972480. Its totient is φ = 18972652608.

The previous prime is 34235765309. The next prime is 34235765381. The reversal of 34235765361 is 16356753243.

It is a happy number.

34235765361 is a `hidden beast` number, since 3 + 4 + 23 + 576 + 53 + 6 + 1 = 666.

It is not a de Polignac number, because 34235765361 - 2⁶ = 34235765297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34235765381) 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 119 ways as a sum of consecutive naturals, for example, 191261170 + ... + 191261348.

It is an arithmetic number, because the mean of its divisors is an integer number (495508104).

Almost surely, 2^34235765361 is an apocalyptic number.

It is an amenable number.

34235765361 is a deficient number, since it is larger than the sum of its proper divisors (25225207119).

34235765361 is a wasteful number, since it uses less digits than its factorization.

34235765361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 409 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 34235765361 in words is "thirty-four billion, two hundred thirty-five million, seven hundred sixty-five thousand, three hundred sixty-one".