3370284601200 has 960 divisors, whose sum is σ = 13314622095360. Its totient is φ = 802859904000.

The previous prime is 3370284601181. The next prime is 3370284601207. The reversal of 3370284601200 is 21064820733.

It is a happy number.

3370284601200 is a `hidden beast` number, since 3 + 3 + 7 + 0 + 28 + 4 + 601 + 20 + 0 = 666.

3370284601200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3370284601200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370284601207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3905311969 + ... + 3905312831.

It is an arithmetic number, because the mean of its divisors is an integer number (13869398016).

Almost surely, 2^{3370284601200} is an apocalyptic number.

3370284601200 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 3370284601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657311047680).

3370284601200 is an abundant number, since it is smaller than the sum of its proper divisors (9944337494160).

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

3370284601200 is a wasteful number, since it uses less digits than its factorization.

3370284601200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3370284601200 in words is "three trillion, three hundred seventy billion, two hundred eighty-four million, six hundred one thousand, two hundred".