34351351641 has 48 divisors (see below), whose sum is σ = 52713460800. Its totient is φ = 22347145728.

The previous prime is 34351351637. The next prime is 34351351651. The reversal of 34351351641 is 14615315343.

34351351641 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 1 + 3 + 5 + 1 + 641 = 666.

It is not a de Polignac number, because 34351351641 - 2² = 34351351637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34351351596 and 34351351605.

It is not an unprimeable number, because it can be changed into a prime (34351351651) 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 47 ways as a sum of consecutive naturals, for example, 1955425 + ... + 1972913.

It is an arithmetic number, because the mean of its divisors is an integer number (1098197100).

Almost surely, 2^34351351641 is an apocalyptic number.

It is an amenable number.

34351351641 is a deficient number, since it is larger than the sum of its proper divisors (18362109159).

34351351641 is a wasteful number, since it uses less digits than its factorization.

34351351641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17700 (or 17688 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 34351351641 its reverse (14615315343), we get a palindrome (48966666984).

The spelling of 34351351641 in words is "thirty-four billion, three hundred fifty-one million, three hundred fifty-one thousand, six hundred forty-one".