3340555183728 has 640 divisors, whose sum is σ = 11274478387200. Its totient is φ = 927441128448.

The previous prime is 3340555183681. The next prime is 3340555183733. The reversal of 3340555183728 is 8273815550433.

3340555183728 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 5 + 551 + 83 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×3340555183728² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4646112553 + ... + 4646113271.

It is an arithmetic number, because the mean of its divisors is an integer number (17616372480).

Almost surely, 2^{3340555183728} 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 3340555183728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637239193600).

3340555183728 is an abundant number, since it is smaller than the sum of its proper divisors (7933923203472).

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

3340555183728 is a wasteful number, since it uses less digits than its factorization.

3340555183728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 3340555183728 in words is "three trillion, three hundred forty billion, five hundred fifty-five million, one hundred eighty-three thousand, seven hundred twenty-eight".