3149660420172 has 384 divisors, whose sum is σ = 9483408506880. Its totient is φ = 885506618880.

The previous prime is 3149660420149. The next prime is 3149660420173. The reversal of 3149660420172 is 2710240669413.

3149660420172 is a `hidden beast` number, since 3 + 1 + 4 + 9 + 6 + 604 + 20 + 17 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3149660420173) 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 127 ways as a sum of consecutive naturals, for example, 10062812688 + ... + 10062813000.

It is an arithmetic number, because the mean of its divisors is an integer number (24696376320).

Almost surely, 2^{3149660420172} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3149660420172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741704253440).

3149660420172 is an abundant number, since it is smaller than the sum of its proper divisors (6333748086708).

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

3149660420172 is a wasteful number, since it uses less digits than its factorization.

3149660420172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3149660420172 in words is "three trillion, one hundred forty-nine billion, six hundred sixty million, four hundred twenty thousand, one hundred seventy-two".