34009962 has 128 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 8211456.

The previous prime is 34009961. The next prime is 34009991. The reversal of 34009962 is 26990043.

34009962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34009961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 311964 + ... + 312072.

It is an arithmetic number, because the mean of its divisors is an integer number (712800).

Almost surely, 2^34009962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34009962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45619200).

34009962 is an abundant number, since it is smaller than the sum of its proper divisors (57228438).

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

34009962 is a wasteful number, since it uses less digits than its factorization.

34009962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 34009962 is about 5831.8060667344. The cubic root of 34009962 is about 323.9928172467.

The spelling of 34009962 in words is "thirty-four million, nine thousand, nine hundred sixty-two".