34034320320 has 896 divisors, whose sum is σ = 146884534272. Its totient is φ = 6447513600.

The previous prime is 34034320283. The next prime is 34034320343. The reversal of 34034320320 is 2302343043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102822555 + ... + 102822885.

It is an arithmetic number, because the mean of its divisors is an integer number (163933632).

Almost surely, 2^34034320320 is an apocalyptic number.

34034320320 is a gapful number since it is divisible by the number (30) 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 34034320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73442267136).

34034320320 is an abundant number, since it is smaller than the sum of its proper divisors (112850213952).

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

34034320320 is a wasteful number, since it uses less digits than its factorization.

34034320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

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

Adding to 34034320320 its reverse (2302343043), we get a palindrome (36336663363).

The spelling of 34034320320 in words is "thirty-four billion, thirty-four million, three hundred twenty thousand, three hundred twenty".