3366456938208 has 768 divisors, whose sum is σ = 12278555412480. Its totient is φ = 884620154880.

The previous prime is 3366456938099. The next prime is 3366456938227. The reversal of 3366456938208 is 8028396546633.

3366456938208 is a `hidden beast` number, since 3 + 3 + 6 + 64 + 569 + 3 + 8 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×3366456938208² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2107987266 + ... + 2107988862.

It is an arithmetic number, because the mean of its divisors is an integer number (15987702360).

Almost surely, 2^{3366456938208} 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 3366456938208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139277706240).

3366456938208 is an abundant number, since it is smaller than the sum of its proper divisors (8912098474272).

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

3366456938208 is a wasteful number, since it uses less digits than its factorization.

3366456938208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 3366456938208 in words is "three trillion, three hundred sixty-six billion, four hundred fifty-six million, nine hundred thirty-eight thousand, two hundred eight".