3339444922128 has 560 divisors, whose sum is σ = 11311825996800. Its totient is φ = 934858402560.

The previous prime is 3339444922111. The next prime is 3339444922129. The reversal of 3339444922128 is 8212294449333.

3339444922128 is a `hidden beast` number, since 3 + 3 + 394 + 4 + 4 + 9 + 221 + 28 = 666.

It is a super-2 number, since 2×3339444922128² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3339444922129) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1729385323 + ... + 1729387253.

It is an arithmetic number, because the mean of its divisors is an integer number (20199689280).

Almost surely, 2^{3339444922128} 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 3339444922128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655912998400).

3339444922128 is an abundant number, since it is smaller than the sum of its proper divisors (7972381074672).

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

3339444922128 is a wasteful number, since it uses less digits than its factorization.

3339444922128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2361 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 3339444922128 in words is "three trillion, three hundred thirty-nine billion, four hundred forty-four million, nine hundred twenty-two thousand, one hundred twenty-eight".