3345811200 has 324 divisors, whose sum is σ = 12380691960. Its totient is φ = 861020160.

The previous prime is 3345811199. The next prime is 3345811211. The reversal of 3345811200 is 21185433.

It is a happy number.

3345811200 is a `hidden beast` number, since 3 + 3 + 458 + 1 + 1 + 200 = 666.

It is a super-2 number, since 2×3345811200² = 22388905172090880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1669399 + ... + 1671401.

Almost surely, 2^3345811200 is an apocalyptic number.

3345811200 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 3345811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190345980).

3345811200 is an abundant number, since it is smaller than the sum of its proper divisors (9034880760).

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

3345811200 is a wasteful number, since it uses less digits than its factorization.

3345811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3345811200 is about 57842.9874747147. The cubic root of 3345811200 is about 1495.6632069008.

Adding to 3345811200 its reverse (21185433), we get a palindrome (3366996633).

The spelling of 3345811200 in words is "three billion, three hundred forty-five million, eight hundred eleven thousand, two hundred".