34314322432 has 120 divisors (see below), whose sum is σ = 74611023696. Its totient is φ = 15758585856.

The previous prime is 34314322423. The next prime is 34314322433. The reversal of 34314322432 is 23422341343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34314322394 and 34314322403.

It is not an unprimeable number, because it can be changed into a prime (34314322433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19640983 + ... + 19642729.

Almost surely, 2^34314322432 is an apocalyptic number.

34314322432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37305511848).

34314322432 is an abundant number, since it is smaller than the sum of its proper divisors (40296701264).

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

34314322432 is a wasteful number, since it uses less digits than its factorization.

34314322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1989 counting only the distinct ones).

The product of its digits is 41472, while the sum is 31.

Adding to 34314322432 its reverse (23422341343), we get a palindrome (57736663775).

The spelling of 34314322432 in words is "thirty-four billion, three hundred fourteen million, three hundred twenty-two thousand, four hundred thirty-two".