34055325344 has 72 divisors (see below), whose sum is σ = 71304232608. Its totient is φ = 16007613440.

The previous prime is 34055325341. The next prime is 34055325371. The reversal of 34055325344 is 44352355043.

It is a junction number, because it is equal to n+sod(n) for n = 34055325298 and 34055325307.

It is not an unprimeable number, because it can be changed into a prime (34055325341) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11308799 + ... + 11311809.

It is an arithmetic number, because the mean of its divisors is an integer number (990336564).

Almost surely, 2^34055325344 is an apocalyptic number.

34055325344 is a gapful number since it is divisible by the number (34) 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 34055325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35652116304).

34055325344 is an abundant number, since it is smaller than the sum of its proper divisors (37248907264).

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

34055325344 is a wasteful number, since it uses less digits than its factorization.

34055325344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 38.

The spelling of 34055325344 in words is "thirty-four billion, fifty-five million, three hundred twenty-five thousand, three hundred forty-four".