3336008220 has 288 divisors, whose sum is σ = 11124590400. Its totient is φ = 829730304.

The previous prime is 3336008219. The next prime is 3336008303. The reversal of 3336008220 is 228006333.

3336008220 is a `hidden beast` number, since 3 + 33 + 600 + 8 + 2 + 20 = 666.

It is a super-4 number, since 4×3336008220⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21248382 + ... + 21248538.

It is an arithmetic number, because the mean of its divisors is an integer number (38627050).

Almost surely, 2^3336008220 is an apocalyptic number.

3336008220 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 3336008220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562295200).

3336008220 is an abundant number, since it is smaller than the sum of its proper divisors (7788582180).

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

3336008220 is a wasteful number, since it uses less digits than its factorization.

3336008220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3336008220 is about 57758.1874715611. The cubic root of 3336008220 is about 1494.2010503450.

The spelling of 3336008220 in words is "three billion, three hundred thirty-six million, eight thousand, two hundred twenty".