3366130135680 has 1152 divisors, whose sum is σ = 13877653345920. Its totient is φ = 745828909056.

The previous prime is 3366130135649. The next prime is 3366130135681. The reversal of 3366130135680 is 865310316633.

3366130135680 is a `hidden beast` number, since 3 + 3 + 66 + 13 + 0 + 13 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3366130135680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3366130135681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 497723979 + ... + 497730741.

It is an arithmetic number, because the mean of its divisors is an integer number (12046574085).

Almost surely, 2^{3366130135680} is an apocalyptic number.

3366130135680 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 3366130135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938826672960).

3366130135680 is an abundant number, since it is smaller than the sum of its proper divisors (10511523210240).

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

3366130135680 is a wasteful number, since it uses less digits than its factorization.

3366130135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3366130135680 in words is "three trillion, three hundred sixty-six billion, one hundred thirty million, one hundred thirty-five thousand, six hundred eighty".