34021334520 has 192 divisors, whose sum is σ = 111646080000. Its totient is φ = 8984473344.

The previous prime is 34021334497. The next prime is 34021334521. The reversal of 34021334520 is 2543312043.

34021334520 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 133 + 4 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021334521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17120967 + ... + 17122953.

It is an arithmetic number, because the mean of its divisors is an integer number (581490000).

Almost surely, 2^34021334520 is an apocalyptic number.

34021334520 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 34021334520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55823040000).

34021334520 is an abundant number, since it is smaller than the sum of its proper divisors (77624745480).

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

34021334520 is a wasteful number, since it uses less digits than its factorization.

34021334520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34021334520 its reverse (2543312043), we get a palindrome (36564646563).

The spelling of 34021334520 in words is "thirty-four billion, twenty-one million, three hundred thirty-four thousand, five hundred twenty".