34778287743 has 32 divisors (see below), whose sum is σ = 49924976640. Its totient is φ = 21465635040.

The previous prime is 34778287703. The next prime is 34778287759.

34778287743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34778287743 - 2²⁹ = 34241416831 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34778287703) 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 31 ways as a sum of consecutive naturals, for example, 1841796 + ... + 1860582.

It is an arithmetic number, because the mean of its divisors is an integer number (1560155520).

Almost surely, 2^34778287743 is an apocalyptic number.

34778287743 is a deficient number, since it is larger than the sum of its proper divisors (15146688897).

34778287743 is a wasteful number, since it uses less digits than its factorization.

34778287743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19547.

The product of its digits is 44255232, while the sum is 60.

The spelling of 34778287743 in words is "thirty-four billion, seven hundred seventy-eight million, two hundred eighty-seven thousand, seven hundred forty-three".