3366743305120 has 96 divisors (see below), whose sum is σ = 8567503805952. Its totient is φ = 1242853880832.

The previous prime is 3366743305117. The next prime is 3366743305171. The reversal of 3366743305120 is 215033476633.

It is a happy number.

3366743305120 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-3 number, since 3×3366743305120³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10286719 + ... + 10608961.

It is an arithmetic number, because the mean of its divisors is an integer number (89244831312).

Almost surely, 2^{3366743305120} 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 3366743305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283751902976).

3366743305120 is an abundant number, since it is smaller than the sum of its proper divisors (5200760500832).

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

3366743305120 is a wasteful number, since it uses less digits than its factorization.

3366743305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327294 (or 327286 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 43.

The spelling of 3366743305120 in words is "three trillion, three hundred sixty-six billion, seven hundred forty-three million, three hundred five thousand, one hundred twenty".