3923384480 has 192 divisors, whose sum is σ = 10189670400. Its totient is φ = 1421844480.

The previous prime is 3923384473. The next prime is 3923384533. The reversal of 3923384480 is 844833293.

It is a super-3 number, since 3×3923384480³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16838444 + ... + 16838676.

It is an arithmetic number, because the mean of its divisors is an integer number (53071200).

Almost surely, 2^3923384480 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 3923384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

3923384480 is an abundant number, since it is smaller than the sum of its proper divisors (6266285920).

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

3923384480 is a wasteful number, since it uses less digits than its factorization.

3923384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 3923384480 is about 62636.9258504917. The cubic root of 3923384480 is about 1577.2006834475.

The spelling of 3923384480 in words is "three billion, nine hundred twenty-three million, three hundred eighty-four thousand, four hundred eighty".