3331411200 has 432 divisors, whose sum is σ = 13164504640. Its totient is φ = 819486720.

The previous prime is 3331411199. The next prime is 3331411207. The reversal of 3331411200 is 21141333.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3331411200² = 22196601166970880000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331411207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2245659 + ... + 2247141.

Almost surely, 2^3331411200 is an apocalyptic number.

3331411200 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 3331411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582252320).

3331411200 is an abundant number, since it is smaller than the sum of its proper divisors (9833093440).

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

3331411200 is a wasteful number, since it uses less digits than its factorization.

3331411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3331411200 is about 57718.3783555983. The cubic root of 3331411200 is about 1493.5143983966.

Adding to 3331411200 its reverse (21141333), we get a palindrome (3352552533).

The spelling of 3331411200 in words is "three billion, three hundred thirty-one million, four hundred eleven thousand, two hundred".