34584004 has 60 divisors (see below), whose sum is σ = 76310444. Its totient is φ = 13632192.

The previous prime is 34583977. The next prime is 34584007. The reversal of 34584004 is 40048543.

34584004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 29052100 = 2352^2 + 5390^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34584007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124714 + ... + 124990.

Almost surely, 2^34584004 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 34584004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38155222).

34584004 is an abundant number, since it is smaller than the sum of its proper divisors (41726440).

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

34584004 is a wasteful number, since it uses less digits than its factorization.

34584004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 34584004 is about 5880.8166099616. The cubic root of 34584004 is about 325.8055095946.

The spelling of 34584004 in words is "thirty-four million, five hundred eighty-four thousand, four".