3383380800000 has 1440 divisors, whose sum is σ = 13346738254080. Its totient is φ = 846028800000.

The previous prime is 3383380799969. The next prime is 3383380800071. The reversal of 3383380800000 is 80833833.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3383380800000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12484799865 + ... + 12484800135.

It is an arithmetic number, because the mean of its divisors is an integer number (9268568232).

Almost surely, 2^{3383380800000} is an apocalyptic number.

3383380800000 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 3383380800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673369127040).

3383380800000 is an abundant number, since it is smaller than the sum of its proper divisors (9963357454080).

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

3383380800000 is an frugal number, since it uses more digits than its factorization.

3383380800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3383380800000 in words is "three trillion, three hundred eighty-three billion, three hundred eighty million, eight hundred thousand".