34646311341 has 24 divisors (see below), whose sum is σ = 51407309720. Its totient is φ = 22468876416.

The previous prime is 34646311309. The next prime is 34646311393. The reversal of 34646311341 is 14311364643.

34646311341 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 631 + 13 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11539271241 + 23107040100 = 107421^2 + 152010^2 .

It is not a de Polignac number, because 34646311341 - 2⁵ = 34646311309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34646311296 and 34646311305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34646311741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3347811 + ... + 3358143.

Almost surely, 2^34646311341 is an apocalyptic number.

It is an amenable number.

34646311341 is a deficient number, since it is larger than the sum of its proper divisors (16760998379).

34646311341 is a wasteful number, since it uses less digits than its factorization.

34646311341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20445 (or 20442 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 34646311341 its reverse (14311364643), we get a palindrome (48957675984).

The spelling of 34646311341 in words is "thirty-four billion, six hundred forty-six million, three hundred eleven thousand, three hundred forty-one".