34062120 has 80 divisors (see below), whose sum is σ = 114497460. Its totient is φ = 9082368.

The previous prime is 34062109. The next prime is 34062137. The reversal of 34062120 is 2126043.

It is a happy number.

34062120 is a `hidden beast` number, since 3 + 40 + 621 + 2 + 0 = 666.

34062120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27436644 + 6625476 = 5238^2 + 2574^2 .

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 = 34062093 and 34062102.

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 19 ways as a sum of consecutive naturals, for example, 2017 + ... + 8496.

Almost surely, 2^34062120 is an apocalyptic number.

34062120 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 34062120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57248730).

34062120 is an abundant number, since it is smaller than the sum of its proper divisors (80435340).

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

34062120 is a wasteful number, since it uses less digits than its factorization.

34062120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10523 counting only the distinct ones).

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

The square root of 34062120 is about 5836.2762100504. The cubic root of 34062120 is about 324.1583588017.

Adding to 34062120 its reverse (2126043), we get a palindrome (36188163).

The spelling of 34062120 in words is "thirty-four million, sixty-two thousand, one hundred twenty".