34430300034 has 48 divisors (see below), whose sum is σ = 74630761344. Its totient is φ = 10584600000.

The previous prime is 34430300033. The next prime is 34430300053. The reversal of 34430300034 is 43000303443.

It is a junction number, because it is equal to n+sod(n) for n = 34430299977 and 34430300013.

It is not an unprimeable number, because it can be changed into a prime (34430300033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183159 + ... + 1211909.

It is an arithmetic number, because the mean of its divisors is an integer number (1554807528).

Almost surely, 2^34430300034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34430300034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37315380672).

34430300034 is an abundant number, since it is smaller than the sum of its proper divisors (40200461310).

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

34430300034 is a wasteful number, since it uses less digits than its factorization.

34430300034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29963 (or 29950 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 34430300034 its reverse (43000303443), we get a palindrome (77430603477).

The spelling of 34430300034 in words is "thirty-four billion, four hundred thirty million, three hundred thousand, thirty-four".