3403213200 has 180 divisors, whose sum is σ = 12098670948. Its totient is φ = 885350400.

The previous prime is 3403213189. The next prime is 3403213259. The reversal of 3403213200 is 23123043.

3403213200 is a `hidden beast` number, since 340 + 3 + 2 + 1 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 63297936 + 3339915264 = 7956^2 + 57792^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136072 + ... + 159128.

Almost surely, 2^3403213200 is an apocalyptic number.

3403213200 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 3403213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049335474).

3403213200 is an abundant number, since it is smaller than the sum of its proper divisors (8695457748).

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

3403213200 is a wasteful number, since it uses less digits than its factorization.

3403213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23122 (or 23108 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3403213200 is about 58337.0654044236. The cubic root of 3403213200 is about 1504.1681403426.

Adding to 3403213200 its reverse (23123043), we get a palindrome (3426336243).

The spelling of 3403213200 in words is "three billion, four hundred three million, two hundred thirteen thousand, two hundred".