3138471198720 has 1296 divisors, whose sum is σ = 12995066041776. Its totient is φ = 690801868800.

The previous prime is 3138471198691. The next prime is 3138471198809. The reversal of 3138471198720 is 278911748313.

3138471198720 is a `hidden beast` number, since 3 + 1 + 384 + 7 + 1 + 198 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51450347490 + ... + 51450347550.

It is an arithmetic number, because the mean of its divisors is an integer number (10027057131).

Almost surely, 2^{3138471198720} is an apocalyptic number.

3138471198720 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 3138471198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497533020888).

3138471198720 is an abundant number, since it is smaller than the sum of its proper divisors (9856594843056).

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

3138471198720 is an equidigital number, since it uses as much as digits as its factorization.

3138471198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 3138471198720 in words is "three trillion, one hundred thirty-eight billion, four hundred seventy-one million, one hundred ninety-eight thousand, seven hundred twenty".