3468441200 has 180 divisors, whose sum is σ = 9848097360. Its totient is φ = 1149926400.

The previous prime is 3468441191. The next prime is 3468441227. The reversal of 3468441200 is 21448643.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2690156 + ... + 2691444.

It is an arithmetic number, because the mean of its divisors is an integer number (54711652).

Almost surely, 2^3468441200 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 3468441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924048680).

3468441200 is an abundant number, since it is smaller than the sum of its proper divisors (6379656160).

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

3468441200 is a wasteful number, since it uses less digits than its factorization.

3468441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 3468441200 is about 58893.4733226017. The cubic root of 3468441200 is about 1513.7173151959.

Adding to 3468441200 its reverse (21448643), we get a palindrome (3489889843).

The spelling of 3468441200 in words is "three billion, four hundred sixty-eight million, four hundred forty-one thousand, two hundred".