3668318817408 has 256 divisors, whose sum is σ = 12911269017600. Its totient is φ = 1002521760768.

The previous prime is 3668318817403. The next prime is 3668318817409. The reversal of 3668318817408 is 8047188138663.

3668318817408 is a `hidden beast` number, since 3 + 66 + 83 + 1 + 88 + 17 + 408 = 666.

It is a super-2 number, since 2×3668318817408² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3668318817403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2739966 + ... + 3852797.

It is an arithmetic number, because the mean of its divisors is an integer number (50434644600).

Almost surely, 2^{3668318817408} is an apocalyptic number.

It is an amenable number.

3668318817408 is an abundant number, since it is smaller than the sum of its proper divisors (9242950200192).

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

3668318817408 is a wasteful number, since it uses less digits than its factorization.

3668318817408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592816 (or 6592798 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 3668318817408 in words is "three trillion, six hundred sixty-eight billion, three hundred eighteen million, eight hundred seventeen thousand, four hundred eight".