3138104078208 has 576 divisors, whose sum is σ = 10103429896560. Its totient is φ = 934078464000.

The previous prime is 3138104078191. The next prime is 3138104078251. The reversal of 3138104078208 is 8028704018313.

3138104078208 is a `hidden beast` number, since 3 + 1 + 38 + 1 + 0 + 407 + 8 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1928766291 + ... + 1928767917.

Almost surely, 2^{3138104078208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138104078208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051714948280).

3138104078208 is an abundant number, since it is smaller than the sum of its proper divisors (6965325818352).

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

3138104078208 is a wasteful number, since it uses less digits than its factorization.

3138104078208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 3138104078208 in words is "three trillion, one hundred thirty-eight billion, one hundred four million, seventy-eight thousand, two hundred eight".