3313201200 has 120 divisors (see below), whose sum is σ = 10660918848. Its totient is φ = 879555840.

The previous prime is 3313201189. The next prime is 3313201207. The reversal of 3313201200 is 21023133.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3313201200.

It is not an unprimeable number, because it can be changed into a prime (3313201207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266319 + ... + 278481.

Almost surely, 2^3313201200 is an apocalyptic number.

3313201200 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 3313201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330459424).

3313201200 is an abundant number, since it is smaller than the sum of its proper divisors (7347717648).

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

3313201200 is a wasteful number, since it uses less digits than its factorization.

3313201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12411 (or 12400 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3313201200 is about 57560.4134800993. The cubic root of 3313201200 is about 1490.7881661067.

Adding to 3313201200 its reverse (21023133), we get a palindrome (3334224333).

It can be divided in two parts, 331320 and 1200, that added together give a triangular number (332520 = T₈₁₅).

The spelling of 3313201200 in words is "three billion, three hundred thirteen million, two hundred one thousand, two hundred".