34418304 has 128 divisors (see below), whose sum is σ = 106243200. Its totient is φ = 10948608.

The previous prime is 34418303. The next prime is 34418309. The reversal of 34418304 is 40381443.

34418304 is a `hidden beast` number, since 344 + 18 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34418303) 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, 79272 + ... + 79704.

It is an arithmetic number, because the mean of its divisors is an integer number (830025).

Almost surely, 2^34418304 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 34418304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

34418304 is an abundant number, since it is smaller than the sum of its proper divisors (71824896).

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

34418304 is a wasteful number, since it uses less digits than its factorization.

34418304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34418304 is about 5866.7115149801. The cubic root of 34418304 is about 325.2843397212.

Adding to 34418304 its reverse (40381443), we get a palindrome (74799747).

The spelling of 34418304 in words is "thirty-four million, four hundred eighteen thousand, three hundred four".