34320384 has 234 divisors, whose sum is σ = 121390620. Its totient is φ = 9289728.

The previous prime is 34320383. The next prime is 34320401. The reversal of 34320384 is 48302343.

It is not an unprimeable number, because it can be changed into a prime (34320383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1806327 + ... + 1806345.

Almost surely, 2^34320384 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 34320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60695310).

34320384 is an abundant number, since it is smaller than the sum of its proper divisors (87070236).

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

34320384 is a wasteful number, since it uses less digits than its factorization.

34320384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34320384 is about 5858.3601801187. The cubic root of 34320384 is about 324.9755689722.

The spelling of 34320384 in words is "thirty-four million, three hundred twenty thousand, three hundred eighty-four".