3149660160000 has 880 divisors, whose sum is σ = 11792702314800. Its totient is φ = 830472192000.

The previous prime is 3149660159983. The next prime is 3149660160013. The reversal of 3149660160000 is 610669413.

3149660160000 is a `hidden beast` number, since 3 + 1 + 49 + 6 + 6 + 0 + 1 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35389439956 + ... + 35389440044.

It is an arithmetic number, because the mean of its divisors is an integer number (13400798085).

Almost surely, 2^{3149660160000} is an apocalyptic number.

3149660160000 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 3149660160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896351157400).

3149660160000 is an abundant number, since it is smaller than the sum of its proper divisors (8643042154800).

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

3149660160000 is an frugal number, since it uses more digits than its factorization.

3149660160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 3149660160000 in words is "three trillion, one hundred forty-nine billion, six hundred sixty million, one hundred sixty thousand".