34440744704443 has 48 divisors (see below), whose sum is σ = 44792226920448. Its totient is φ = 26170483920000.

The previous prime is 34440744704441. The next prime is 34440744704467.

34440744704443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34440744704443 - 2¹ = 34440744704441 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34440744704441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48419418 + ... + 49125568.

It is an arithmetic number, because the mean of its divisors is an integer number (933171394176).

Almost surely, 2^{34440744704443} is an apocalyptic number.

34440744704443 is a deficient number, since it is larger than the sum of its proper divisors (10351482216005).

34440744704443 is a wasteful number, since it uses less digits than its factorization.

34440744704443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708424 (or 708417 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 52.

The spelling of 34440744704443 in words is "thirty-four trillion, four hundred forty billion, seven hundred forty-four million, seven hundred four thousand, four hundred forty-three".