3358784620800 has 1080 divisors, whose sum is σ = 14226721500992. Its totient is φ = 765904896000.

The previous prime is 3358784620799. The next prime is 3358784620811. The reversal of 3358784620800 is 80264878533.

3358784620800 is a `hidden beast` number, since 3 + 3 + 5 + 8 + 7 + 8 + 4 + 620 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×3358784620800² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2072043990 + ... + 2072045610.

Almost surely, 2^{3358784620800} is an apocalyptic number.

3358784620800 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 3358784620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113360750496).

3358784620800 is an abundant number, since it is smaller than the sum of its proper divisors (10867936880192).

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

3358784620800 is a wasteful number, since it uses less digits than its factorization.

3358784620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3358784620800 in words is "three trillion, three hundred fifty-eight billion, seven hundred eighty-four million, six hundred twenty thousand, eight hundred".