3138332883840 has 768 divisors, whose sum is σ = 13947038576640. Its totient is φ = 631082188800.

The previous prime is 3138332883823. The next prime is 3138332883859. The reversal of 3138332883840 is 483882338313.

3138332883840 is a `hidden beast` number, since 313 + 8 + 3 + 3 + 288 + 3 + 8 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

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, 13634992 + ... + 13863248.

It is an arithmetic number, because the mean of its divisors is an integer number (18160206480).

Almost surely, 2^{3138332883840} is an apocalyptic number.

3138332883840 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 3138332883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973519288320).

3138332883840 is an abundant number, since it is smaller than the sum of its proper divisors (10808705692800).

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

3138332883840 is a wasteful number, since it uses less digits than its factorization.

3138332883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228331 (or 228316 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3138332883840 in words is "three trillion, one hundred thirty-eight billion, three hundred thirty-two million, eight hundred eighty-three thousand, eight hundred forty".