34245120 has 320 divisors, whose sum is σ = 137491200. Its totient is φ = 7225344.

The previous prime is 34245109. The next prime is 34245149. The reversal of 34245120 is 2154243.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2634234 + ... + 2634246.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 2^34245120 is an apocalyptic number.

34245120 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 34245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

34245120 is an abundant number, since it is smaller than the sum of its proper divisors (103246080).

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

34245120 is an equidigital number, since it uses as much as digits as its factorization.

34245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 34245120 is about 5851.9330139707. The cubic root of 34245120 is about 324.7378398683.

Adding to 34245120 its reverse (2154243), we get a palindrome (36399363).

The spelling of 34245120 in words is "thirty-four million, two hundred forty-five thousand, one hundred twenty".