34234200 has 576 divisors, whose sum is σ = 162489600. Its totient is φ = 6220800.

The previous prime is 34234177. The next prime is 34234229. The reversal of 34234200 is 243243.

It is a Cunningham number, because it is equal to 5851²-1.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1801791 + ... + 1801809.

It is an arithmetic number, because the mean of its divisors is an integer number (282100).

Almost surely, 2^34234200 is an apocalyptic number.

34234200 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 34234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

34234200 is an abundant number, since it is smaller than the sum of its proper divisors (128255400).

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

34234200 is a wasteful number, since it uses less digits than its factorization.

34234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

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

The square root of 34234200 is about 5850.9999145445. Note that the first 4 decimals coincide. The cubic root of 34234200 is about 324.7033189964.

Adding to 34234200 its reverse (243243), we get a palindrome (34477443).

It can be divided in two parts, 342 and 34200, that multiplied together give a square (11696400 = 3420²).

The spelling of 34234200 in words is "thirty-four million, two hundred thirty-four thousand, two hundred".