34400304 has 60 divisors (see below), whose sum is σ = 97929000. Its totient is φ = 11269632.

The previous prime is 34400273. The next prime is 34400323. The reversal of 34400304 is 40300443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6472 + ... + 10520.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^34400304 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 34400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48964500).

34400304 is an abundant number, since it is smaller than the sum of its proper divisors (63528696).

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

34400304 is a wasteful number, since it uses less digits than its factorization.

34400304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34400304 is about 5865.1772351737. The cubic root of 34400304 is about 325.2276243651.

Adding to 34400304 its reverse (40300443), we get a palindrome (74700747).

The spelling of 34400304 in words is "thirty-four million, four hundred thousand, three hundred four".