34408688680443 has 32 divisors (see below), whose sum is σ = 57203528159232. Its totient is φ = 17873184391200.

The previous prime is 34408688680433. The next prime is 34408688680519.

34408688680443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34408688680443 - 2¹⁰ = 34408688679419 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34408688680403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3240613 + ... + 8906118.

It is an arithmetic number, because the mean of its divisors is an integer number (1787610254976).

Almost surely, 2^{34408688680443} is an apocalyptic number.

34408688680443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34408688680443 is a deficient number, since it is larger than the sum of its proper divisors (22794839478789).

34408688680443 is a wasteful number, since it uses less digits than its factorization.

34408688680443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12159015.

The product of its (nonzero) digits is 339738624, while the sum is 66.

The spelling of 34408688680443 in words is "thirty-four trillion, four hundred eight billion, six hundred eighty-eight million, six hundred eighty thousand, four hundred forty-three".