3385203754968 has 192 divisors, whose sum is σ = 10855072849920. Its totient is φ = 932620780800.

The previous prime is 3385203754957. The next prime is 3385203755009. The reversal of 3385203754968 is 8694573025833.

It is a happy number.

3385203754968 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 20 + 3 + 7 + 549 + 68 = 666.

3385203754968 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 2×3385203754968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3936753 + ... + 4718943.

It is an arithmetic number, because the mean of its divisors is an integer number (56536837760).

Almost surely, 2^{3385203754968} 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 3385203754968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427536424960).

3385203754968 is an abundant number, since it is smaller than the sum of its proper divisors (7469869094952).

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

3385203754968 is a wasteful number, since it uses less digits than its factorization.

3385203754968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782518 (or 782511 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 3385203754968 in words is "three trillion, three hundred eighty-five billion, two hundred three million, seven hundred fifty-four thousand, nine hundred sixty-eight".