3396744781128 has 128 divisors (see below), whose sum is σ = 9935559360000. Its totient is φ = 1072272085056.

The previous prime is 3396744781127. The next prime is 3396744781139. The reversal of 3396744781128 is 8211874476933.

3396744781128 is a `hidden beast` number, since 3 + 3 + 9 + 67 + 447 + 8 + 1 + 128 = 666.

It is not an unprimeable number, because it can be changed into a prime (3396744781127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11422375 + ... + 11715977.

It is an arithmetic number, because the mean of its divisors is an integer number (77621557500).

Almost surely, 2^{3396744781128} is an apocalyptic number.

3396744781128 is a gapful number since it is divisible by the number (38) 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 3396744781128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967779680000).

3396744781128 is an abundant number, since it is smaller than the sum of its proper divisors (6538814578872).

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

3396744781128 is a wasteful number, since it uses less digits than its factorization.

3396744781128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296456 (or 296446 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 3396744781128 in words is "three trillion, three hundred ninety-six billion, seven hundred forty-four million, seven hundred eighty-one thousand, one hundred twenty-eight".