34345440320 has 56 divisors (see below), whose sum is σ = 81927262104. Its totient is φ = 13714292736.

The previous prime is 34345440301. The next prime is 34345440343. The reversal of 34345440320 is 2304454343.

It can be written as a sum of positive squares in 4 ways, for example, as 7038538816 + 27306901504 = 83896^2 + 165248^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91634 + ... + 277646.

Almost surely, 2^34345440320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40963631052).

34345440320 is an abundant number, since it is smaller than the sum of its proper divisors (47581821784).

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

34345440320 is a wasteful number, since it uses less digits than its factorization.

34345440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186607 (or 186597 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 34345440320 its reverse (2304454343), we get a palindrome (36649894663).

The spelling of 34345440320 in words is "thirty-four billion, three hundred forty-five million, four hundred forty thousand, three hundred twenty".