34272120 has 64 divisors (see below), whose sum is σ = 104004000. Its totient is φ = 9033728.

The previous prime is 34272103. The next prime is 34272131. The reversal of 34272120 is 2127243.

34272120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9076 + ... + 12284.

Almost surely, 2^34272120 is an apocalyptic number.

34272120 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 34272120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52002000).

34272120 is an abundant number, since it is smaller than the sum of its proper divisors (69731880).

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

34272120 is a wasteful number, since it uses less digits than its factorization.

34272120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 34272120 is about 5854.2394894640. The cubic root of 34272120 is about 324.8231621797.

Adding to 34272120 its reverse (2127243), we get a palindrome (36399363).

The spelling of 34272120 in words is "thirty-four million, two hundred seventy-two thousand, one hundred twenty".