3316894454400 has 192 divisors, whose sum is σ = 10928943285600. Its totient is φ = 884187648000.

The previous prime is 3316894454399. The next prime is 3316894454417. The reversal of 3316894454400 is 44544986133.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3316894454400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27309006 + ... + 27430194.

Almost surely, 2^{3316894454400} is an apocalyptic number.

3316894454400 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 3316894454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464471642800).

3316894454400 is an abundant number, since it is smaller than the sum of its proper divisors (7612048831200).

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

3316894454400 is a wasteful number, since it uses less digits than its factorization.

3316894454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124067 (or 124050 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 3316894454400 in words is "three trillion, three hundred sixteen billion, eight hundred ninety-four million, four hundred fifty-four thousand, four hundred".