3387904169664 has 112 divisors (see below), whose sum is σ = 10249192868096. Its totient is φ = 967517568000.

The previous prime is 3387904169621. The next prime is 3387904169681. The reversal of 3387904169664 is 4669614097833.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3387904169664² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3387904169595 and 3387904169604.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2272614 + ... + 3455514.

It is an arithmetic number, because the mean of its divisors is an integer number (91510650608).

Almost surely, 2^{3387904169664} 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 3387904169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124596434048).

3387904169664 is an abundant number, since it is smaller than the sum of its proper divisors (6861288698432).

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

3387904169664 is a wasteful number, since it uses less digits than its factorization.

3387904169664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185054 (or 1185044 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 3387904169664 in words is "three trillion, three hundred eighty-seven billion, nine hundred four million, one hundred sixty-nine thousand, six hundred sixty-four".