34406344360443 has 32 divisors (see below), whose sum is σ = 52766357667840. Its totient is φ = 19722293609760.

The previous prime is 34406344360403. The next prime is 34406344360457.

34406344360443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34406344360443 - 2⁶ = 34406344360379 is a prime.

It is a super-3 number, since 3×34406344360443³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34406344360392 and 34406344360401.

It is not an unprimeable number, because it can be changed into a prime (34406344360403) 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, 44820855 + ... + 45582032.

It is an arithmetic number, because the mean of its divisors is an integer number (1648948677120).

Almost surely, 2^{34406344360443} is an apocalyptic number.

34406344360443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34406344360443 is a deficient number, since it is larger than the sum of its proper divisors (18360013307397).

34406344360443 is a wasteful number, since it uses less digits than its factorization.

34406344360443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90403527.

The product of its (nonzero) digits is 11943936, while the sum is 48.

The spelling of 34406344360443 in words is "thirty-four trillion, four hundred six billion, three hundred forty-four million, three hundred sixty thousand, four hundred forty-three".