3234343200 has 288 divisors, whose sum is σ = 11608132032. Its totient is φ = 775680000.

The previous prime is 3234343127. The next prime is 3234343207. The reversal of 3234343200 is 23434323.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3234343207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2665794 + ... + 2667006.

It is an arithmetic number, because the mean of its divisors is an integer number (40306014).

Almost surely, 2^3234343200 is an apocalyptic number.

3234343200 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 3234343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804066016).

3234343200 is an abundant number, since it is smaller than the sum of its proper divisors (8373788832).

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

3234343200 is a wasteful number, since it uses less digits than its factorization.

3234343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3234343200 is about 56871.2862523787. The cubic root of 3234343200 is about 1478.8655782151.

Adding to 3234343200 its reverse (23434323), we get a palindrome (3257777523).

The spelling of 3234343200 in words is "three billion, two hundred thirty-four million, three hundred forty-three thousand, two hundred".