34000120 has 192 divisors, whose sum is σ = 103420800. Its totient is φ = 9918720.

The previous prime is 34000117. The next prime is 34000121. The reversal of 34000120 is 2100043.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 34000097 and 34000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409599 + ... + 409681.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 2^34000120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

34000120 is an abundant number, since it is smaller than the sum of its proper divisors (69420680).

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

34000120 is a wasteful number, since it uses less digits than its factorization.

34000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 34000120 is about 5830.9621847513. The cubic root of 34000120 is about 323.9615612581.

Adding to 34000120 its reverse (2100043), we get a palindrome (36100163).

The spelling of 34000120 in words is "thirty-four million, one hundred twenty", and thus it is an aban number.