3342411628128 has 480 divisors, whose sum is σ = 10328503933440. Its totient is φ = 1059438320640.

The previous prime is 3342411628103. The next prime is 3342411628141. The reversal of 3342411628128 is 8218261142433.

3342411628128 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 4 + 1 + 1 + 628 + 12 + 8 = 666.

It is a super-2 number, since 2×3342411628128² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 616792203 + ... + 616797621.

It is an arithmetic number, because the mean of its divisors is an integer number (21517716528).

Almost surely, 2^{3342411628128} 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 3342411628128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164251966720).

3342411628128 is an abundant number, since it is smaller than the sum of its proper divisors (6986092305312).

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

3342411628128 is a wasteful number, since it uses less digits than its factorization.

3342411628128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5632 (or 5615 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 3342411628128 in words is "three trillion, three hundred forty-two billion, four hundred eleven million, six hundred twenty-eight thousand, one hundred twenty-eight".