34421325120 has 504 divisors, whose sum is σ = 146532087936. Its totient is φ = 7261802496.

The previous prime is 34421325109. The next prime is 34421325131. The reversal of 34421325120 is 2152312443.

It is an interprime number because it is at equal distance from previous prime (34421325109) and next prime (34421325131).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3401989 + ... + 3412091.

Almost surely, 2^34421325120 is an apocalyptic number.

34421325120 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 34421325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73266043968).

34421325120 is an abundant number, since it is smaller than the sum of its proper divisors (112110762816).

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

34421325120 is a wasteful number, since it uses less digits than its factorization.

34421325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159 (or 10133 counting only the distinct ones).

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

Adding to 34421325120 its reverse (2152312443), we get a palindrome (36573637563).

The spelling of 34421325120 in words is "thirty-four billion, four hundred twenty-one million, three hundred twenty-five thousand, one hundred twenty".