3033968188864 has 224 divisors, whose sum is σ = 6835791052800. Its totient is φ = 1327389327360.

The previous prime is 3033968188837. The next prime is 3033968188963. The reversal of 3033968188864 is 4688818693303.

It is a super-2 number, since 2×3033968188864² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3033968188864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604012657 + ... + 604017679.

Almost surely, 2^{3033968188864} is an apocalyptic number.

3033968188864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3033968188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417895526400).

3033968188864 is an abundant number, since it is smaller than the sum of its proper divisors (3801822863936).

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

3033968188864 is a wasteful number, since it uses less digits than its factorization.

3033968188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 67.

The spelling of 3033968188864 in words is "three trillion, thirty-three billion, nine hundred sixty-eight million, one hundred eighty-eight thousand, eight hundred sixty-four".