3387922671744 has 384 divisors, whose sum is σ = 11361301660800. Its totient is φ = 997111627776.

The previous prime is 3387922671671. The next prime is 3387922671761. The reversal of 3387922671744 is 4471762297833.

3387922671744 is a `hidden beast` number, since 3 + 387 + 9 + 22 + 67 + 174 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3387922671744² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9117952 + ... + 9482240.

It is an arithmetic number, because the mean of its divisors is an integer number (29586723075).

Almost surely, 2^{3387922671744} 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 3387922671744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680650830400).

3387922671744 is an abundant number, since it is smaller than the sum of its proper divisors (7973378989056).

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

3387922671744 is a wasteful number, since it uses less digits than its factorization.

3387922671744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364354 (or 364330 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 3387922671744 in words is "three trillion, three hundred eighty-seven billion, nine hundred twenty-two million, six hundred seventy-one thousand, seven hundred forty-four".