34384704 has 112 divisors (see below), whose sum is σ = 96560640. Its totient is φ = 10782720.

The previous prime is 34384703. The next prime is 34384709. The reversal of 34384704 is 40748343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34384703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315402 + ... + 315510.

Almost surely, 2^34384704 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 34384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48280320).

34384704 is an abundant number, since it is smaller than the sum of its proper divisors (62175936).

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

34384704 is a wasteful number, since it uses less digits than its factorization.

34384704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 34384704 is about 5863.8472012835. The cubic root of 34384704 is about 325.1784550509.

The spelling of 34384704 in words is "thirty-four million, three hundred eighty-four thousand, seven hundred four".