34424000 has 112 divisors (see below), whose sum is σ = 92086176. Its totient is φ = 12672000.

The previous prime is 34423999. The next prime is 34424003. The reversal of 34424000 is 42443.

It is a self number, because there is not a number n which added to its sum of digits gives 34424000.

It is not an unprimeable number, because it can be changed into a prime (34424003) 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, 103835 + ... + 104165.

It is an arithmetic number, because the mean of its divisors is an integer number (822198).

Almost surely, 2^34424000 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 34424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46043088).

34424000 is an abundant number, since it is smaller than the sum of its proper divisors (57662176).

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

34424000 is a wasteful number, since it uses less digits than its factorization.

34424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 34424000 is about 5867.1969457314. The cubic root of 34424000 is about 325.3022828618.

Adding to 34424000 its reverse (42443), we get a palindrome (34466443).

The spelling of 34424000 in words is "thirty-four million, four hundred twenty-four thousand".