3336118009776 has 200 divisors, whose sum is σ = 9697809833184. Its totient is φ = 1107199134720.

The previous prime is 3336118009729. The next prime is 3336118009801. The reversal of 3336118009776 is 6779008116333.

3336118009776 is a `hidden beast` number, since 33 + 361 + 180 + 0 + 9 + 7 + 76 = 666.

It is a super-2 number, since 2×3336118009776² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 305024980 + ... + 305035916.

Almost surely, 2^{3336118009776} is an apocalyptic number.

3336118009776 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 3336118009776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848904916592).

3336118009776 is an abundant number, since it is smaller than the sum of its proper divisors (6361691823408).

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

3336118009776 is a wasteful number, since it uses less digits than its factorization.

3336118009776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11961 (or 11946 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3336118009776 in words is "three trillion, three hundred thirty-six billion, one hundred eighteen million, nine thousand, seven hundred seventy-six".