3840663120 has 240 divisors, whose sum is σ = 14665364928. Its totient is φ = 826183680.

The previous prime is 3840663091. The next prime is 3840663133. The reversal of 3840663120 is 213660483.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 190315 + ... + 209525.

Almost surely, 2^3840663120 is an apocalyptic number.

3840663120 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 3840663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332682464).

3840663120 is an abundant number, since it is smaller than the sum of its proper divisors (10824701808).

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

3840663120 is a wasteful number, since it uses less digits than its factorization.

3840663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19258 (or 19245 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3840663120 is about 61973.0838348391. The cubic root of 3840663120 is about 1566.0371911068.

The spelling of 3840663120 in words is "three billion, eight hundred forty million, six hundred sixty-three thousand, one hundred twenty".