34430400 has 168 divisors, whose sum is σ = 125669040. Its totient is φ = 9169920.

The previous prime is 34430369. The next prime is 34430411. The reversal of 34430400 is 403443.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42802 + ... + 43598.

It is an arithmetic number, because the mean of its divisors is an integer number (748030).

Almost surely, 2^34430400 is an apocalyptic number.

34430400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62834520).

34430400 is an abundant number, since it is smaller than the sum of its proper divisors (91238640).

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

34430400 is a wasteful number, since it uses less digits than its factorization.

34430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 807 counting only the distinct ones).

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

The square root of 34430400 is about 5867.7423256309. The cubic root of 34430400 is about 325.3224413326.

Adding to 34430400 its reverse (403443), we get a palindrome (34833843).

The spelling of 34430400 in words is "thirty-four million, four hundred thirty thousand, four hundred".