34043904 has 72 divisors (see below), whose sum is σ = 98378280. Its totient is φ = 11341824.

The previous prime is 34043897. The next prime is 34043909. The reversal of 34043904 is 40934043.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×34043904² = 2317974799122432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34043909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17509 + ... + 19355.

It is an arithmetic number, because the mean of its divisors is an integer number (1366365).

Almost surely, 2^34043904 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 34043904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49189140).

34043904 is an abundant number, since it is smaller than the sum of its proper divisors (64334376).

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

34043904 is a wasteful number, since it uses less digits than its factorization.

34043904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34043904 is about 5834.7154172247. The cubic root of 34043904 is about 324.1005632055.

Adding to 34043904 its reverse (40934043), we get a palindrome (74977947).

It can be divided in two parts, 340 and 43904, that added together give a palindrome (44244).

The spelling of 34043904 in words is "thirty-four million, forty-three thousand, nine hundred four".