3127406061152 has 96 divisors (see below), whose sum is σ = 6534661754880. Its totient is φ = 1469177740800.

The previous prime is 3127406061149. The next prime is 3127406061161. The reversal of 3127406061152 is 2511606047213.

3127406061152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258435902 + ... + 258448002.

It is an arithmetic number, because the mean of its divisors is an integer number (68069393280).

Almost surely, 2^{3127406061152} is an apocalyptic number.

3127406061152 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 3127406061152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267330877440).

3127406061152 is an abundant number, since it is smaller than the sum of its proper divisors (3407255693728).

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

3127406061152 is a wasteful number, since it uses less digits than its factorization.

3127406061152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604 (or 15596 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 3127406061152 in words is "three trillion, one hundred twenty-seven billion, four hundred six million, sixty-one thousand, one hundred fifty-two".