3366913118976 has 864 divisors, whose sum is σ = 11474677186560. Its totient is φ = 971238850560.

The previous prime is 3366913118971. The next prime is 3366913119077. The reversal of 3366913118976 is 6798113196633.

3366913118976 is a `hidden beast` number, since 3 + 366 + 91 + 3 + 1 + 189 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3366913118976² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3366913118971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7367424540 + ... + 7367424996.

Almost surely, 2^{3366913118976} is an apocalyptic number.

3366913118976 is a gapful number since it is divisible by the number (36) 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 3366913118976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737338593280).

3366913118976 is an abundant number, since it is smaller than the sum of its proper divisors (8107764067584).

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

3366913118976 is a wasteful number, since it uses less digits than its factorization.

3366913118976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 879 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 3366913118976 in words is "three trillion, three hundred sixty-six billion, nine hundred thirteen million, one hundred eighteen thousand, nine hundred seventy-six".