3380143824288 has 648 divisors, whose sum is σ = 12827274890976. Its totient is φ = 826297528320.

The previous prime is 3380143824269. The next prime is 3380143824311. The reversal of 3380143824288 is 8824283410833.

3380143824288 is a `hidden beast` number, since 3 + 380 + 14 + 3 + 8 + 242 + 8 + 8 = 666.

It is a super-2 number, since 2×3380143824288² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 70473531 + ... + 70521477.

Almost surely, 2^{3380143824288} 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 3380143824288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413637445488).

3380143824288 is an abundant number, since it is smaller than the sum of its proper divisors (9447131066688).

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

3380143824288 is a wasteful number, since it uses less digits than its factorization.

3380143824288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48026 (or 47987 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 3380143824288 in words is "three trillion, three hundred eighty billion, one hundred forty-three million, eight hundred twenty-four thousand, two hundred eighty-eight".