3476426198784 has 1152 divisors, whose sum is σ = 13206974054400. Its totient is φ = 783203696640.

The previous prime is 3476426198771. The next prime is 3476426198789. The reversal of 3476426198784 is 4878916246743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3476426198789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 706731877 + ... + 706736795.

It is an arithmetic number, because the mean of its divisors is an integer number (11464387200).

Almost surely, 2^{3476426198784} is an apocalyptic number.

3476426198784 is a gapful number since it is divisible by the number (34) 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 3476426198784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603487027200).

3476426198784 is an abundant number, since it is smaller than the sum of its proper divisors (9730547855616).

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

3476426198784 is a wasteful number, since it uses less digits than its factorization.

3476426198784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5015 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 69.

The spelling of 3476426198784 in words is "three trillion, four hundred seventy-six billion, four hundred twenty-six million, one hundred ninety-eight thousand, seven hundred eighty-four".