3149908201872 has 320 divisors, whose sum is σ = 9385756416000. Its totient is φ = 1010793917952.

The previous prime is 3149908201871. The next prime is 3149908201883. The reversal of 3149908201872 is 2781028099413.

3149908201872 is a `hidden beast` number, since 3 + 1 + 499 + 0 + 82 + 0 + 1 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3149908201871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 836182933 + ... + 836186699.

It is an arithmetic number, because the mean of its divisors is an integer number (29330488800).

Almost surely, 2^{3149908201872} 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 3149908201872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692878208000).

3149908201872 is an abundant number, since it is smaller than the sum of its proper divisors (6235848214128).

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

3149908201872 is a wasteful number, since it uses less digits than its factorization.

3149908201872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 3149908201872 in words is "three trillion, one hundred forty-nine billion, nine hundred eight million, two hundred one thousand, eight hundred seventy-two".