3138293071872 has 1280 divisors, whose sum is σ = 11886310656000. Its totient is φ = 807218970624.

The previous prime is 3138293071813. The next prime is 3138293071897. The reversal of 3138293071872 is 2781703928313.

3138293071872 is a `hidden beast` number, since 3 + 138 + 29 + 307 + 187 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136447524853 + ... + 136447524875.

It is an arithmetic number, because the mean of its divisors is an integer number (9286180200).

Almost surely, 2^{3138293071872} is an apocalyptic number.

3138293071872 is a gapful number since it is divisible by the number (32) 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 3138293071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943155328000).

3138293071872 is an abundant number, since it is smaller than the sum of its proper divisors (8748017584128).

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

3138293071872 is an frugal number, since it uses more digits than its factorization.

3138293071872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 3138293071872 in words is "three trillion, one hundred thirty-eight billion, two hundred ninety-three million, seventy-one thousand, eight hundred seventy-two".