34133034330 has 96 divisors (see below), whose sum is σ = 89276675904. Its totient is φ = 9047839488.

The previous prime is 34133034323. The next prime is 34133034359. The reversal of 34133034330 is 3343033143.

It is a junction number, because it is equal to n+sod(n) for n = 34133034294 and 34133034303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22410949 + ... + 22412471.

It is an arithmetic number, because the mean of its divisors is an integer number (929965374).

Almost surely, 2^34133034330 is an apocalyptic number.

34133034330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34133034330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44638337952).

34133034330 is an abundant number, since it is smaller than the sum of its proper divisors (55143641574).

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

34133034330 is a wasteful number, since it uses less digits than its factorization.

34133034330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 34133034330 its reverse (3343033143), we get a palindrome (37476067473).

The spelling of 34133034330 in words is "thirty-four billion, one hundred thirty-three million, thirty-four thousand, three hundred thirty".