3365288212800 has 168 divisors, whose sum is σ = 11042198388000. Its totient is φ = 897308702720.

The previous prime is 3365288212777. The next prime is 3365288212849. The reversal of 3365288212800 is 82128825633.

3365288212800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3365288212800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3365288212800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48632626 + ... + 48701774.

Almost surely, 2^{3365288212800} is an apocalyptic number.

3365288212800 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 3365288212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521099194000).

3365288212800 is an abundant number, since it is smaller than the sum of its proper divisors (7676910175200).

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

3365288212800 is a wasteful number, since it uses less digits than its factorization.

3365288212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79313 (or 79298 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 3365288212800 in words is "three trillion, three hundred sixty-five billion, two hundred eighty-eight million, two hundred twelve thousand, eight hundred".