3138975576000 has 1344 divisors, whose sum is σ = 12748206062592. Its totient is φ = 730598400000.

The previous prime is 3138975575861. The next prime is 3138975576013. The reversal of 3138975576000 is 6755798313.

3138975576000 is a `hidden beast` number, since 3 + 1 + 3 + 89 + 7 + 557 + 6 + 0 + 0 + 0 = 666.

3138975576000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2077415245 + ... + 2077416755.

It is an arithmetic number, because the mean of its divisors is an integer number (9485272368).

Almost surely, 2^{3138975576000} is an apocalyptic number.

3138975576000 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 3138975576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374103031296).

3138975576000 is an abundant number, since it is smaller than the sum of its proper divisors (9609230486592).

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

3138975576000 is a wasteful number, since it uses less digits than its factorization.

3138975576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 3138975576000 in words is "three trillion, one hundred thirty-eight billion, nine hundred seventy-five million, five hundred seventy-six thousand".