3090981814272 has 640 divisors, whose sum is σ = 10514447982720. Its totient is φ = 895742115840.

The previous prime is 3090981814253. The next prime is 3090981814303. The reversal of 3090981814272 is 2724181890903.

3090981814272 is a `hidden beast` number, since 30 + 9 + 0 + 9 + 8 + 181 + 427 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 671512323 + ... + 671516925.

It is an arithmetic number, because the mean of its divisors is an integer number (16428824973).

Almost surely, 2^{3090981814272} is an apocalyptic number.

3090981814272 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 3090981814272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257223991360).

3090981814272 is an abundant number, since it is smaller than the sum of its proper divisors (7423466168448).

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

3090981814272 is an equidigital number, since it uses as much as digits as its factorization.

3090981814272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4642 counting only the distinct ones).

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

The spelling of 3090981814272 in words is "three trillion, ninety billion, nine hundred eighty-one million, eight hundred fourteen thousand, two hundred seventy-two".