34808960 has 64 divisors (see below), whose sum is σ = 84033720. Its totient is φ = 13787136.

The previous prime is 34808951. The next prime is 34808981. The reversal of 34808960 is 6980843.

It can be written as a sum of positive squares in 4 ways, for example, as 31091776 + 3717184 = 5576^2 + 1928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 87482 + ... + 87878.

Almost surely, 2^34808960 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 34808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42016860).

34808960 is an abundant number, since it is smaller than the sum of its proper divisors (49224760).

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

34808960 is a wasteful number, since it uses less digits than its factorization.

34808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 34808960 is about 5899.9118637485. The cubic root of 34808960 is about 326.5103977452.

The spelling of 34808960 in words is "thirty-four million, eight hundred eight thousand, nine hundred sixty".