34424400 has 60 divisors (see below), whose sum is σ = 110276672. Its totient is φ = 9179520.

The previous prime is 34424389. The next prime is 34424407. The reversal of 34424400 is 442443.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34424407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13144 + ... + 15543.

Almost surely, 2^34424400 is an apocalyptic number.

34424400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34424400 is an abundant number, since it is smaller than the sum of its proper divisors (75852272).

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

34424400 is a wasteful number, since it uses less digits than its factorization.

34424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28708 (or 28697 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 34424400 is about 5867.2310334603. The cubic root of 34424400 is about 325.3035428394.

Adding to 34424400 its reverse (442443), we get a palindrome (34866843).

The spelling of 34424400 in words is "thirty-four million, four hundred twenty-four thousand, four hundred".