3363989428800 has 4032 divisors, whose sum is σ = 17235336867840. Its totient is φ = 599187456000.

The previous prime is 3363989428753. The next prime is 3363989428817. The reversal of 3363989428800 is 88249893633.

3363989428800 is a `hidden beast` number, since 3 + 363 + 98 + 94 + 28 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×3363989428800² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19445025514 + ... + 19445025686.

It is an arithmetic number, because the mean of its divisors is an integer number (4274637120).

Almost surely, 2^{3363989428800} is an apocalyptic number.

3363989428800 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 3363989428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617668433920).

3363989428800 is an abundant number, since it is smaller than the sum of its proper divisors (13871347439040).

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

3363989428800 is a wasteful number, since it uses less digits than its factorization.

3363989428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 3363989428800 in words is "three trillion, three hundred sixty-three billion, nine hundred eighty-nine million, four hundred twenty-eight thousand, eight hundred".