34134051420 has 144 divisors (see below), whose sum is σ = 119195713728. Its totient is φ = 7745080320.

The previous prime is 34134051403. The next prime is 34134051421. The reversal of 34134051420 is 2415043143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134051421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73750 + ... + 271490.

It is an arithmetic number, because the mean of its divisors is an integer number (827748012).

Almost surely, 2^34134051420 is an apocalyptic number.

34134051420 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 34134051420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59597856864).

34134051420 is an abundant number, since it is smaller than the sum of its proper divisors (85061662308).

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

34134051420 is a wasteful number, since it uses less digits than its factorization.

34134051420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197900 (or 197895 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34134051420 its reverse (2415043143), we get a palindrome (36549094563).

The spelling of 34134051420 in words is "thirty-four billion, one hundred thirty-four million, fifty-one thousand, four hundred twenty".