3427816281072 has 80 divisors (see below), whose sum is σ = 8961576734880. Its totient is φ = 1128918122496.

The previous prime is 3427816281061. The next prime is 3427816281079. The reversal of 3427816281072 is 2701826187243.

It is a happy number.

3427816281072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427816281079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2140254 + ... + 3381762.

It is an arithmetic number, because the mean of its divisors is an integer number (112019709186).

Almost surely, 2^{3427816281072} 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 3427816281072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480788367440).

3427816281072 is an abundant number, since it is smaller than the sum of its proper divisors (5533760453808).

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

3427816281072 is a wasteful number, since it uses less digits than its factorization.

3427816281072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242210 (or 1242204 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 3427816281072 in words is "three trillion, four hundred twenty-seven billion, eight hundred sixteen million, two hundred eighty-one thousand, seventy-two".