34423200 has 216 divisors, whose sum is σ = 138928608. Its totient is φ = 7856640.

The previous prime is 34423199. The next prime is 34423201. The reversal of 34423200 is 232443.

34423200 is a `hidden beast` number, since 344 + 2 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34423199) and next prime (34423201).

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

It is not an unprimeable number, because it can be changed into a prime (34423201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50059 + ... + 50741.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 2^34423200 is an apocalyptic number.

34423200 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 34423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464304).

34423200 is an abundant number, since it is smaller than the sum of its proper divisors (104505408).

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

34423200 is a wasteful number, since it uses less digits than its factorization.

34423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 700 counting only the distinct ones).

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

The square root of 34423200 is about 5867.1287696794. The cubic root of 34423200 is about 325.2997628772.

Adding to 34423200 its reverse (232443), we get a palindrome (34655643).

The spelling of 34423200 in words is "thirty-four million, four hundred twenty-three thousand, two hundred".