3384166256640 has 1248 divisors, whose sum is σ = 13498432496640. Its totient is φ = 777859891200.

The previous prime is 3384166256629. The next prime is 3384166256717. The reversal of 3384166256640 is 466526614833.

3384166256640 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 1 + 6 + 625 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×3384166256640² (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 95 ways as a sum of consecutive naturals, for example, 2154147055 + ... + 2154148625.

It is an arithmetic number, because the mean of its divisors is an integer number (10816051680).

Almost surely, 2^{3384166256640} is an apocalyptic number.

3384166256640 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 3384166256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749216248320).

3384166256640 is an abundant number, since it is smaller than the sum of its proper divisors (10114266240000).

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

3384166256640 is a wasteful number, since it uses less digits than its factorization.

3384166256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3384166256640 in words is "three trillion, three hundred eighty-four billion, one hundred sixty-six million, two hundred fifty-six thousand, six hundred forty".