3283226369280 has 720 divisors, whose sum is σ = 13801890098304. Its totient is φ = 734704680960.

The previous prime is 3283226369279. The next prime is 3283226369299. The reversal of 3283226369280 is 829636223823.

3283226369280 is a `hidden beast` number, since 3 + 2 + 8 + 322 + 6 + 36 + 9 + 280 = 666.

3283226369280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×3283226369280³ (a number of 39 digits) contains 333 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14715517 + ... + 14936963.

Almost surely, 2^{3283226369280} is an apocalyptic number.

3283226369280 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 3283226369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900945049152).

3283226369280 is an abundant number, since it is smaller than the sum of its proper divisors (10518663729024).

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

3283226369280 is a wasteful number, since it uses less digits than its factorization.

3283226369280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221504 (or 221481 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3283226369280 in words is "three trillion, two hundred eighty-three billion, two hundred twenty-six million, three hundred sixty-nine thousand, two hundred eighty".