3385556633856 has 288 divisors, whose sum is σ = 9201273016320. Its totient is φ = 1104917299200.

The previous prime is 3385556633813. The next prime is 3385556633857. The reversal of 3385556633856 is 6583366555833.

It is a super-2 number, since 2×3385556633856² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3385556633857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5281679296 + ... + 5281679936.

It is an arithmetic number, because the mean of its divisors is an integer number (31948864640).

Almost surely, 2^{3385556633856} 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 3385556633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600636508160).

3385556633856 is an abundant number, since it is smaller than the sum of its proper divisors (5815716382464).

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

3385556633856 is a wasteful number, since it uses less digits than its factorization.

3385556633856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1319 counting only the distinct ones).

The product of its digits is 699840000, while the sum is 66.

The spelling of 3385556633856 in words is "three trillion, three hundred eighty-five billion, five hundred fifty-six million, six hundred thirty-three thousand, eight hundred fifty-six".