3387906187200 has 252 divisors, whose sum is σ = 12069378947808. Its totient is φ = 901343846400.

The previous prime is 3387906187147. The next prime is 3387906187201. The reversal of 3387906187200 is 27816097833.

3387906187200 is a `hidden beast` number, since 338 + 7 + 90 + 6 + 18 + 7 + 200 = 666.

It is a super-2 number, since 2×3387906187200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387906187201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5933464 + ... + 6479336.

It is an arithmetic number, because the mean of its divisors is an integer number (47894360904).

Almost surely, 2^{3387906187200} is an apocalyptic number.

3387906187200 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 3387906187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034689473904).

3387906187200 is an abundant number, since it is smaller than the sum of its proper divisors (8681472760608).

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

3387906187200 is a wasteful number, since it uses less digits than its factorization.

3387906187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546332 (or 546314 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 3387906187200 in words is "three trillion, three hundred eighty-seven billion, nine hundred six million, one hundred eighty-seven thousand, two hundred".