34206120 has 96 divisors (see below), whose sum is σ = 119737800. Its totient is φ = 8418816.

The previous prime is 34206119. The next prime is 34206127. The reversal of 34206120 is 2160243.

It is a happy number.

34206120 is a `hidden beast` number, since 34 + 20 + 612 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20412324 + 13793796 = 4518^2 + 3714^2 .

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 = 34206093 and 34206102.

It is not an unprimeable number, because it can be changed into a prime (34206127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026 + ... + 8334.

Almost surely, 2^34206120 is an apocalyptic number.

34206120 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 34206120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59868900).

34206120 is an abundant number, since it is smaller than the sum of its proper divisors (85531680).

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

34206120 is a wasteful number, since it uses less digits than its factorization.

34206120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339 (or 7332 counting only the distinct ones).

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

The square root of 34206120 is about 5848.5998324385. The cubic root of 34206120 is about 324.6145173185.

Adding to 34206120 its reverse (2160243), we get a palindrome (36366363).

The spelling of 34206120 in words is "thirty-four million, two hundred six thousand, one hundred twenty".