34320960 has 168 divisors, whose sum is σ = 125172216. Its totient is φ = 8601600.

The previous prime is 34320953. The next prime is 34320971. The reversal of 34320960 is 6902343.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 21013056 = 3648^2 + 4584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48610 + ... + 49310.

Almost surely, 2^34320960 is an apocalyptic number.

34320960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62586108).

34320960 is an abundant number, since it is smaller than the sum of its proper divisors (90851256).

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

34320960 is a wasteful number, since it uses less digits than its factorization.

34320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 34320960 is about 5858.4093404268. The cubic root of 34320960 is about 324.9773869868.

The spelling of 34320960 in words is "thirty-four million, three hundred twenty thousand, nine hundred sixty".