3453400200 has 192 divisors, whose sum is σ = 11019294720. Its totient is φ = 894240000.

The previous prime is 3453400199. The next prime is 3453400207. The reversal of 3453400200 is 20043543.

It is a happy number.

3453400200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3453400207) 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, 4257795 + ... + 4258605.

It is an arithmetic number, because the mean of its divisors is an integer number (57392160).

Almost surely, 2^3453400200 is an apocalyptic number.

3453400200 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 3453400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509647360).

3453400200 is an abundant number, since it is smaller than the sum of its proper divisors (7565894520).

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

3453400200 is a wasteful number, since it uses less digits than its factorization.

3453400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3453400200 is about 58765.6379187702. The cubic root of 3453400200 is about 1511.5260510268.

Adding to 3453400200 its reverse (20043543), we get a palindrome (3473443743).

The spelling of 3453400200 in words is "three billion, four hundred fifty-three million, four hundred thousand, two hundred".