34066120 has 64 divisors (see below), whose sum is σ = 84369600. Its totient is φ = 12276480.

The previous prime is 34066103. The next prime is 34066133. The reversal of 34066120 is 2166043.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 34066091 and 34066100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60882 + ... + 61438.

It is an arithmetic number, because the mean of its divisors is an integer number (1318275).

Almost surely, 2^34066120 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 34066120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184800).

34066120 is an abundant number, since it is smaller than the sum of its proper divisors (50303480).

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

34066120 is a wasteful number, since it uses less digits than its factorization.

34066120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 34066120 is about 5836.6188842514. The cubic root of 34066120 is about 324.1710472141.

The spelling of 34066120 in words is "thirty-four million, sixty-six thousand, one hundred twenty".