3385770821352 has 288 divisors, whose sum is σ = 9876965061600. Its totient is φ = 1046751932160.

The previous prime is 3385770821311. The next prime is 3385770821369. The reversal of 3385770821352 is 2531280775833.

3385770821352 is a `hidden beast` number, since 3 + 3 + 8 + 577 + 0 + 8 + 2 + 13 + 52 = 666.

3385770821352 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 2×3385770821352² (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 71 ways as a sum of consecutive naturals, for example, 171517099 + ... + 171536837.

It is an arithmetic number, because the mean of its divisors is an integer number (34295017575).

Almost surely, 2^{3385770821352} 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 3385770821352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938482530800).

3385770821352 is an abundant number, since it is smaller than the sum of its proper divisors (6491194240248).

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

3385770821352 is a wasteful number, since it uses less digits than its factorization.

3385770821352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19917 (or 19879 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 3385770821352 in words is "three trillion, three hundred eighty-five billion, seven hundred seventy million, eight hundred twenty-one thousand, three hundred fifty-two".