34210041120 has 384 divisors, whose sum is σ = 133456377600. Its totient is φ = 8133820416.

The previous prime is 34210041113. The next prime is 34210041121. The reversal of 34210041120 is 2114001243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34210041093 and 34210041102.

It is not an unprimeable number, because it can be changed into a prime (34210041121) 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 63 ways as a sum of consecutive naturals, for example, 1383102 + ... + 1407618.

It is an arithmetic number, because the mean of its divisors is an integer number (347542650).

Almost surely, 2^34210041120 is an apocalyptic number.

34210041120 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 34210041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66728188800).

34210041120 is an abundant number, since it is smaller than the sum of its proper divisors (99246336480).

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

34210041120 is a wasteful number, since it uses less digits than its factorization.

34210041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24577 (or 24563 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34210041120 its reverse (2114001243), we get a palindrome (36324042363).

The spelling of 34210041120 in words is "thirty-four billion, two hundred ten million, forty-one thousand, one hundred twenty".