3213361200 has 480 divisors, whose sum is σ = 12386905600. Its totient is φ = 711244800.

The previous prime is 3213361181. The next prime is 3213361219. The reversal of 3213361200 is 21633123.

It is an interprime number because it is at equal distance from previous prime (3213361181) and next prime (3213361219).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15229095 + ... + 15229305.

Almost surely, 2^3213361200 is an apocalyptic number.

3213361200 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 3213361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193452800).

3213361200 is an abundant number, since it is smaller than the sum of its proper divisors (9173544400).

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

3213361200 is a wasteful number, since it uses less digits than its factorization.

3213361200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3213361200 is about 56686.5169154006. The cubic root of 3213361200 is about 1475.6607132836.

Adding to 3213361200 its reverse (21633123), we get a palindrome (3234994323).

The spelling of 3213361200 in words is "three billion, two hundred thirteen million, three hundred sixty-one thousand, two hundred".