3303218983680 has 5184 divisors, whose sum is σ = 17038204485120. Its totient is φ = 601974374400.

The previous prime is 3303218983679. The next prime is 3303218983703. The reversal of 3303218983680 is 863898123033.

3303218983680 is a `hidden beast` number, since 3 + 303 + 2 + 189 + 83 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×3303218983680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 54151130850 + ... + 54151130910.

It is an arithmetic number, because the mean of its divisors is an integer number (3286690680).

Almost surely, 2^{3303218983680} is an apocalyptic number.

3303218983680 is a gapful number since it is divisible by the number (30) 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 3303218983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519102242560).

3303218983680 is an abundant number, since it is smaller than the sum of its proper divisors (13734985501440).

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

3303218983680 is a wasteful number, since it uses less digits than its factorization.

3303218983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3303218983680 in words is "three trillion, three hundred three billion, two hundred eighteen million, nine hundred eighty-three thousand, six hundred eighty".