34385680329 has 64 divisors (see below), whose sum is σ = 61617174528. Its totient is φ = 16472678400.

The previous prime is 34385680267. The next prime is 34385680349. The reversal of 34385680329 is 92308658343.

It is not a de Polignac number, because 34385680329 - 2¹³ = 34385672137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34385680349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3457494 + ... + 3467424.

It is an arithmetic number, because the mean of its divisors is an integer number (962768352).

Almost surely, 2^34385680329 is an apocalyptic number.

34385680329 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34385680329 is a deficient number, since it is larger than the sum of its proper divisors (27231494199).

34385680329 is a wasteful number, since it uses less digits than its factorization.

34385680329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11118.

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 34385680329 in words is "thirty-four billion, three hundred eighty-five million, six hundred eighty thousand, three hundred twenty-nine".