34084480 has 64 divisors (see below), whose sum is σ = 85802400. Its totient is φ = 12911616.

The previous prime is 34084403. The next prime is 34084487. The reversal of 34084480 is 8448043.

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

It is not an unprimeable number, because it can be changed into a prime (34084487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10759 + ... + 13561.

Almost surely, 2^34084480 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 34084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42901200).

34084480 is an abundant number, since it is smaller than the sum of its proper divisors (51717920).

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

34084480 is a wasteful number, since it uses less digits than its factorization.

34084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 34084480 is about 5838.1915007989. The cubic root of 34084480 is about 324.2292742885.

The spelling of 34084480 in words is "thirty-four million, eighty-four thousand, four hundred eighty".