34321968 has 100 divisors (see below), whose sum is σ = 101006928. Its totient is φ = 11249280.

The previous prime is 34321967. The next prime is 34322017. The reversal of 34321968 is 86912343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34321967) 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 19 ways as a sum of consecutive naturals, for example, 91830 + ... + 92202.

Almost surely, 2^34321968 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 34321968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50503464).

34321968 is an abundant number, since it is smaller than the sum of its proper divisors (66684960).

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

34321968 is a wasteful number, since it uses less digits than its factorization.

34321968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34321968 is about 5858.4953699734. The cubic root of 34321968 is about 324.9805684635.

The spelling of 34321968 in words is "thirty-four million, three hundred twenty-one thousand, nine hundred sixty-eight".