34072968 has 64 divisors (see below), whose sum is σ = 90155520. Its totient is φ = 10713600.

The previous prime is 34072963. The next prime is 34072993. The reversal of 34072968 is 86927043.

It is not an unprimeable number, because it can be changed into a prime (34072963) by changing a digit.

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, 29946 + ... + 31062.

It is an arithmetic number, because the mean of its divisors is an integer number (1408680).

Almost surely, 2^34072968 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 34072968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45077760).

34072968 is an abundant number, since it is smaller than the sum of its proper divisors (56082552).

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

34072968 is a wasteful number, since it uses less digits than its factorization.

34072968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 34072968 is about 5837.2054957831. The cubic root of 34072968 is about 324.1927674707.

The spelling of 34072968 in words is "thirty-four million, seventy-two thousand, nine hundred sixty-eight".