34122066 has 64 divisors (see below), whose sum is σ = 77811840. Its totient is φ = 9884160.

The previous prime is 34122061. The next prime is 34122071. The reversal of 34122066 is 66022143.

It is an interprime number because it is at equal distance from previous prime (34122061) and next prime (34122071).

It is not an unprimeable number, because it can be changed into a prime (34122061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217260 + ... + 217416.

It is an arithmetic number, because the mean of its divisors is an integer number (1215810).

Almost surely, 2^34122066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34122066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38905920).

34122066 is an abundant number, since it is smaller than the sum of its proper divisors (43689774).

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

34122066 is a wasteful number, since it uses less digits than its factorization.

34122066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34122066 is about 5841.4095901589. The cubic root of 34122066 is about 324.3484096914.

The spelling of 34122066 in words is "thirty-four million, one hundred twenty-two thousand, sixty-six".