3187149754338 has 192 divisors, whose sum is σ = 8472431370240. Its totient is φ = 879667257600.

The previous prime is 3187149754331. The next prime is 3187149754351. The reversal of 3187149754338 is 8334579417813.

3187149754338 is a `hidden beast` number, since 3 + 1 + 8 + 71 + 497 + 5 + 43 + 38 = 666.

It is not an unprimeable number, because it can be changed into a prime (3187149754331) 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 95 ways as a sum of consecutive naturals, for example, 5022195 + ... + 5621097.

It is an arithmetic number, because the mean of its divisors is an integer number (44127246720).

Almost surely, 2^{3187149754338} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3187149754338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236215685120).

3187149754338 is an abundant number, since it is smaller than the sum of its proper divisors (5285281615902).

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

3187149754338 is a wasteful number, since it uses less digits than its factorization.

3187149754338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598990 (or 598967 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 3187149754338 in words is "three trillion, one hundred eighty-seven billion, one hundred forty-nine million, seven hundred fifty-four thousand, three hundred thirty-eight".