3427288290720 has 384 divisors, whose sum is σ = 13878411886080. Its totient is φ = 783379620864.

The previous prime is 3427288290703. The next prime is 3427288290739. The reversal of 3427288290720 is 270928827243.

3427288290720 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 288 + 290 + 72 + 0 = 666.

3427288290720 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1749834 + ... + 3149046.

It is an arithmetic number, because the mean of its divisors is an integer number (36141697620).

Almost surely, 2^{3427288290720} is an apocalyptic number.

3427288290720 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 3427288290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939205943040).

3427288290720 is an abundant number, since it is smaller than the sum of its proper divisors (10451123595360).

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

3427288290720 is an equidigital number, since it uses as much as digits as its factorization.

3427288290720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399256 (or 1399230 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3427288290720 in words is "three trillion, four hundred twenty-seven billion, two hundred eighty-eight million, two hundred ninety thousand, seven hundred twenty".