3138626825712 has 360 divisors, whose sum is σ = 10333827414144. Its totient is φ = 886603753728.

The previous prime is 3138626825627. The next prime is 3138626825713. The reversal of 3138626825712 is 2175286268313.

3138626825712 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 6 + 2 + 68 + 2 + 571 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138626825713) 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 71 ways as a sum of consecutive naturals, for example, 496379383 + ... + 496385705.

Almost surely, 2^{3138626825712} 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 3138626825712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166913707072).

3138626825712 is an abundant number, since it is smaller than the sum of its proper divisors (7195200588432).

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

3138626825712 is a wasteful number, since it uses less digits than its factorization.

3138626825712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7137 (or 7121 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 3138626825712 in words is "three trillion, one hundred thirty-eight billion, six hundred twenty-six million, eight hundred twenty-five thousand, seven hundred twelve".