3355827782208 has 224 divisors, whose sum is σ = 9880191974400. Its totient is φ = 996697405440.

The previous prime is 3355827782173. The next prime is 3355827782249. The reversal of 3355827782208 is 8022877285533.

It is a super-2 number, since 2×3355827782208² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28099710 + ... + 28218882.

Almost surely, 2^{3355827782208} 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 3355827782208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940095987200).

3355827782208 is an abundant number, since it is smaller than the sum of its proper divisors (6524364192192).

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

3355827782208 is a wasteful number, since it uses less digits than its factorization.

3355827782208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119465 (or 119455 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 3355827782208 in words is "three trillion, three hundred fifty-five billion, eight hundred twenty-seven million, seven hundred eighty-two thousand, two hundred eight".