3330428275200 has 480 divisors, whose sum is σ = 12545141184576. Its totient is φ = 771572367360.

The previous prime is 3330428275189. The next prime is 3330428275201. The reversal of 3330428275200 is 25728240333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3330428275200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3330428275201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8290179 + ... + 8682621.

Almost surely, 2^{3330428275200} is an apocalyptic number.

3330428275200 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 3330428275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272570592288).

3330428275200 is an abundant number, since it is smaller than the sum of its proper divisors (9214712909376).

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

3330428275200 is a wasteful number, since it uses less digits than its factorization.

3330428275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392504 (or 392483 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 3330428275200 in words is "three trillion, three hundred thirty billion, four hundred twenty-eight million, two hundred seventy-five thousand, two hundred".