3334164609888 has 864 divisors, whose sum is σ = 11916202491648. Its totient is φ = 913543142400.

The previous prime is 3334164609887. The next prime is 3334164609931. The reversal of 3334164609888 is 8889064614333.

3334164609888 is a `hidden beast` number, since 3 + 3 + 3 + 4 + 1 + 6 + 460 + 98 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3334164609888² (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 not an unprimeable number, because it can be changed into a prime (3334164609887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1000948383 + ... + 1000951713.

It is an arithmetic number, because the mean of its divisors is an integer number (13791901032).

Almost surely, 2^{3334164609888} 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 3334164609888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958101245824).

3334164609888 is an abundant number, since it is smaller than the sum of its proper divisors (8582037881760).

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

3334164609888 is a wasteful number, since it uses less digits than its factorization.

3334164609888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3334164609888 in words is "three trillion, three hundred thirty-four billion, one hundred sixty-four million, six hundred nine thousand, eight hundred eighty-eight".