3385863811840 has 576 divisors, whose sum is σ = 9246704366592. Its totient is φ = 1180827648000.

The previous prime is 3385863811769. The next prime is 3385863811843. The reversal of 3385863811840 is 481183685833.

It is a happy number.

It is a super-2 number, since 2×3385863811840² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3385863811843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2819203240 + ... + 2819204440.

It is an arithmetic number, because the mean of its divisors is an integer number (16053306192).

Almost surely, 2^{3385863811840} 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 3385863811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623352183296).

3385863811840 is an abundant number, since it is smaller than the sum of its proper divisors (5860840554752).

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

3385863811840 is a wasteful number, since it uses less digits than its factorization.

3385863811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 3385863811840 in words is "three trillion, three hundred eighty-five billion, eight hundred sixty-three million, eight hundred eleven thousand, eight hundred forty".