34231200 has 144 divisors (see below), whose sum is σ = 118117440. Its totient is φ = 8581120.

The previous prime is 34231193. The next prime is 34231201. The reversal of 34231200 is 213243.

It is a super-3 number, since 3×34231200³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34231200.

It is not an unprimeable number, because it can be changed into a prime (34231201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40381 + ... + 41219.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 2^34231200 is an apocalyptic number.

34231200 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 34231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59058720).

34231200 is an abundant number, since it is smaller than the sum of its proper divisors (83886240).

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

34231200 is a wasteful number, since it uses less digits than its factorization.

34231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34231200 is about 5850.7435424910. The cubic root of 34231200 is about 324.6938339550.

Adding to 34231200 its reverse (213243), we get a palindrome (34444443).

The spelling of 34231200 in words is "thirty-four million, two hundred thirty-one thousand, two hundred".