34729376045 has 64 divisors (see below), whose sum is σ = 53347768320. Its totient is φ = 21116878848.

The previous prime is 34729376029. The next prime is 34729376047. The reversal of 34729376045 is 54067392743.

It is not a de Polignac number, because 34729376045 - 2⁴ = 34729376029 is a prime.

It is a super-2 number, since 2×34729376045² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34729375984 and 34729376002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34729376047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316909 + ... + 1343021.

It is an arithmetic number, because the mean of its divisors is an integer number (833558880).

Almost surely, 2^34729376045 is an apocalyptic number.

34729376045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34729376045 is a deficient number, since it is larger than the sum of its proper divisors (18618392275).

34729376045 is a wasteful number, since it uses less digits than its factorization.

34729376045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26254.

The product of its (nonzero) digits is 3810240, while the sum is 50.

The spelling of 34729376045 in words is "thirty-four billion, seven hundred twenty-nine million, three hundred seventy-six thousand, forty-five".