34968587643 has 48 divisors (see below), whose sum is σ = 57051820800. Its totient is φ = 20444437440.

The previous prime is 34968587617. The next prime is 34968587663. The reversal of 34968587643 is 34678586943.

34968587643 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 8 + 587 + 6 + 43 = 666.

It is not a de Polignac number, because 34968587643 - 2⁵ = 34968587611 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34968587663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3747738 + ... + 3757056.

It is an arithmetic number, because the mean of its divisors is an integer number (1188579600).

Almost surely, 2^34968587643 is an apocalyptic number.

34968587643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34968587643 is a deficient number, since it is larger than the sum of its proper divisors (22083233157).

34968587643 is a wasteful number, since it uses less digits than its factorization.

34968587643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10672 (or 10669 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 34968587643 in words is "thirty-four billion, nine hundred sixty-eight million, five hundred eighty-seven thousand, six hundred forty-three".