34634311343643 has 64 divisors (see below), whose sum is σ = 53551465486848. Its totient is φ = 19677686814720.

The previous prime is 34634311343623. The next prime is 34634311343657.

It is a happy number.

34634311343643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34634311343643 - 2⁶ = 34634311343579 is a prime.

It is a super-2 number, since 2×34634311343643² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34634311343592 and 34634311343601.

It is not an unprimeable number, because it can be changed into a prime (34634311343623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471903996 + ... + 471977382.

It is an arithmetic number, because the mean of its divisors is an integer number (836741648232).

Almost surely, 2^{34634311343643} is an apocalyptic number.

34634311343643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34634311343643 is a deficient number, since it is larger than the sum of its proper divisors (18917154143205).

34634311343643 is a wasteful number, since it uses less digits than its factorization.

34634311343643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76732.

The product of its digits is 6718464, while the sum is 48.

The spelling of 34634311343643 in words is "thirty-four trillion, six hundred thirty-four billion, three hundred eleven million, three hundred forty-three thousand, six hundred forty-three".