34200120 has 64 divisors (see below), whose sum is σ = 103633920. Its totient is φ = 9028224.

The previous prime is 34200113. The next prime is 34200139. The reversal of 34200120 is 2100243.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 34200096 and 34200105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10977 + ... + 13743.

It is an arithmetic number, because the mean of its divisors is an integer number (1619280).

Almost surely, 2^34200120 is an apocalyptic number.

34200120 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 34200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51816960).

34200120 is an abundant number, since it is smaller than the sum of its proper divisors (69433800).

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

34200120 is a wasteful number, since it uses less digits than its factorization.

34200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34200120 is about 5848.0868666599. The cubic root of 34200120 is about 324.5955363000.

Adding to 34200120 its reverse (2100243), we get a palindrome (36300363).

The spelling of 34200120 in words is "thirty-four million, two hundred thousand, one hundred twenty".