3138284385600 has 2688 divisors, whose sum is σ = 14294205112320. Its totient is φ = 583925760000.

The previous prime is 3138284385571. The next prime is 3138284385601. The reversal of 3138284385600 is 65834828313.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138284385601) 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 383 ways as a sum of consecutive naturals, for example, 7826145400 + ... + 7826145800.

It is an arithmetic number, because the mean of its divisors is an integer number (5317784640).

Almost surely, 2^{3138284385600} is an apocalyptic number.

3138284385600 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 3138284385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147102556160).

3138284385600 is an abundant number, since it is smaller than the sum of its proper divisors (11155920726720).

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

3138284385600 is a wasteful number, since it uses less digits than its factorization.

3138284385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 3138284385600 in words is "three trillion, one hundred thirty-eight billion, two hundred eighty-four million, three hundred eighty-five thousand, six hundred".