3340366013628 has 504 divisors, whose sum is σ = 10354554789264. Its totient is φ = 939605184000.

The previous prime is 3340366013609. The next prime is 3340366013641. The reversal of 3340366013628 is 8263106630433.

3340366013628 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 3 + 6 + 6 + 0 + 13 + 628 = 666.

3340366013628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3340366013628² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3045000376 + ... + 3045001472.

It is an arithmetic number, because the mean of its divisors is an integer number (20544751566).

Almost surely, 2^{3340366013628} 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 3340366013628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177277394632).

3340366013628 is an abundant number, since it is smaller than the sum of its proper divisors (7014188775636).

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

3340366013628 is a wasteful number, since it uses less digits than its factorization.

3340366013628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 3340366013628 in words is "three trillion, three hundred forty billion, three hundred sixty-six million, thirteen thousand, six hundred twenty-eight".