34260120 has 96 divisors (see below), whose sum is σ = 113302800. Its totient is φ = 8975616.

The previous prime is 34260103. The next prime is 34260139. The reversal of 34260120 is 2106243.

It is a happy number.

34260120 is a `hidden beast` number, since 3 + 42 + 601 + 20 = 666.

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 = 34260093 and 34260102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20434 + ... + 22046.

Almost surely, 2^34260120 is an apocalyptic number.

34260120 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 34260120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56651400).

34260120 is an abundant number, since it is smaller than the sum of its proper divisors (79042680).

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

34260120 is a wasteful number, since it uses less digits than its factorization.

34260120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34260120 is about 5853.2145014513. The cubic root of 34260120 is about 324.7852466868.

Adding to 34260120 its reverse (2106243), we get a palindrome (36366363).

The spelling of 34260120 in words is "thirty-four million, two hundred sixty thousand, one hundred twenty".