34388004 has 72 divisors (see below), whose sum is σ = 94112928. Its totient is φ = 9744000.

The previous prime is 34387999. The next prime is 34388027. The reversal of 34388004 is 40088343.

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, 136879 + ... + 137129.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^34388004 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 34388004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464).

34388004 is an abundant number, since it is smaller than the sum of its proper divisors (59724924).

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

34388004 is a wasteful number, since it uses less digits than its factorization.

34388004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34388004 is about 5864.1285797636. The cubic root of 34388004 is about 325.1888574920.

The spelling of 34388004 in words is "thirty-four million, three hundred eighty-eight thousand, four".