3484171771872 has 288 divisors, whose sum is σ = 10131597221760. Its totient is φ = 1047576499200.

The previous prime is 3484171771859. The next prime is 3484171771877. The reversal of 3484171771872 is 2781771714843.

3484171771872 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 (3484171771877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1535552754 + ... + 1535555022.

It is an arithmetic number, because the mean of its divisors is an integer number (35179157020).

Almost surely, 2^{3484171771872} is an apocalyptic number.

3484171771872 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 3484171771872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065798610880).

3484171771872 is an abundant number, since it is smaller than the sum of its proper divisors (6647425449888).

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

3484171771872 is a wasteful number, since it uses less digits than its factorization.

3484171771872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3259 counting only the distinct ones).

The product of its digits is 14751744, while the sum is 60.

The spelling of 3484171771872 in words is "three trillion, four hundred eighty-four billion, one hundred seventy-one million, seven hundred seventy-one thousand, eight hundred seventy-two".