34794649743 has 64 divisors (see below), whose sum is σ = 55858176000. Its totient is φ = 18848495232.

The previous prime is 34794649727. The next prime is 34794649781.

34794649743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34794649743 - 2⁴ = 34794649727 is a prime.

It is a super-3 number, since 3×34794649743³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34794649943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16671046 + ... + 16673132.

It is an arithmetic number, because the mean of its divisors is an integer number (872784000).

Almost surely, 2^34794649743 is an apocalyptic number.

34794649743 is a deficient number, since it is larger than the sum of its proper divisors (21063526257).

34794649743 is a wasteful number, since it uses less digits than its factorization.

34794649743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676.

The product of its digits is 54867456, while the sum is 60.

The spelling of 34794649743 in words is "thirty-four billion, seven hundred ninety-four million, six hundred forty-nine thousand, seven hundred forty-three".