3363360372288 has 336 divisors, whose sum is σ = 11402259298560. Its totient is φ = 927443865600.

The previous prime is 3363360372283. The next prime is 3363360372313. The reversal of 3363360372288 is 8822730633633.

It is a happy number.

3363360372288 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 3 + 603 + 7 + 2 + 28 + 8 = 666.

3363360372288 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 (336).

It is a super-2 number, since 2×3363360372288² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3363360372283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404683653 + ... + 404691963.

Almost surely, 2^{3363360372288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3363360372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701129649280).

3363360372288 is an abundant number, since it is smaller than the sum of its proper divisors (8038898926272).

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

3363360372288 is a wasteful number, since it uses less digits than its factorization.

3363360372288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11826 (or 11813 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 3363360372288 in words is "three trillion, three hundred sixty-three billion, three hundred sixty million, three hundred seventy-two thousand, two hundred eighty-eight".