34214341344 has 48 divisors (see below), whose sum is σ = 89823459600. Its totient is φ = 11403407360.

The previous prime is 34214341339. The next prime is 34214341349. The reversal of 34214341344 is 44314341243.

It is an interprime number because it is at equal distance from previous prime (34214341339) and next prime (34214341349).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34214341349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1065232 + ... + 1096880.

It is an arithmetic number, because the mean of its divisors is an integer number (1871322075).

Almost surely, 2^34214341344 is an apocalyptic number.

It is an amenable number.

34214341344 is an abundant number, since it is smaller than the sum of its proper divisors (55609118256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34214341344 is a wasteful number, since it uses less digits than its factorization.

34214341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42923 (or 42915 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 34214341344 its reverse (44314341243), we get a palindrome (78528682587).

The spelling of 34214341344 in words is "thirty-four billion, two hundred fourteen million, three hundred forty-one thousand, three hundred forty-four".