34484480 has 72 divisors (see below), whose sum is σ = 85541400. Its totient is φ = 13303808.

The previous prime is 34484467. The next prime is 34484501. The reversal of 34484480 is 8448443.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 34480384 = 64^2 + 5872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34484480.

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, 36656 + ... + 37584.

It is an arithmetic number, because the mean of its divisors is an integer number (1188075).

Almost surely, 2^34484480 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 34484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42770700).

34484480 is an abundant number, since it is smaller than the sum of its proper divisors (51056920).

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

34484480 is an equidigital number, since it uses as much as digits as its factorization.

34484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 34484480 is about 5872.3487634847. The cubic root of 34484480 is about 325.4926807556.

The spelling of 34484480 in words is "thirty-four million, four hundred eighty-four thousand, four hundred eighty".