3138430185216 has 288 divisors, whose sum is σ = 9953707680000. Its totient is φ = 972381376512.

The previous prime is 3138430185203. The next prime is 3138430185217. The reversal of 3138430185216 is 6125810348313.

It is a happy number.

3138430185216 is a `hidden beast` number, since 3 + 1 + 3 + 84 + 30 + 18 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138430185217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6734935 + ... + 7185833.

It is an arithmetic number, because the mean of its divisors is an integer number (34561485000).

Almost surely, 2^{3138430185216} is an apocalyptic number.

3138430185216 is a gapful number since it is divisible by the number (36) 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 3138430185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976853840000).

3138430185216 is an abundant number, since it is smaller than the sum of its proper divisors (6815277494784).

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

3138430185216 is a wasteful number, since it uses less digits than its factorization.

3138430185216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450996 (or 450976 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3138430185216 in words is "three trillion, one hundred thirty-eight billion, four hundred thirty million, one hundred eighty-five thousand, two hundred sixteen".