34827589973 has 16 divisors (see below), whose sum is σ = 38216282112. Its totient is φ = 31476198000.

The previous prime is 34827589961. The next prime is 34827589997. The reversal of 34827589973 is 37998572843.

34827589973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34827589973 - 2¹⁴ = 34827573589 is a prime.

It is a super-2 number, since 2×34827589973² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34827589873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4220990 + ... + 4229232.

It is an arithmetic number, because the mean of its divisors is an integer number (2388517632).

Almost surely, 2^34827589973 is an apocalyptic number.

It is an amenable number.

34827589973 is a deficient number, since it is larger than the sum of its proper divisors (3388692139).

34827589973 is a wasteful number, since it uses less digits than its factorization.

34827589973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10456.

The product of its digits is 91445760, while the sum is 65.

The spelling of 34827589973 in words is "thirty-four billion, eight hundred twenty-seven million, five hundred eighty-nine thousand, nine hundred seventy-three".