3840002908560 has 480 divisors, whose sum is σ = 16707386492160. Its totient is φ = 767556145152.

The previous prime is 3840002908543. The next prime is 3840002908597. The reversal of 3840002908560 is 658092000483.

3840002908560 is a `hidden beast` number, since 3 + 84 + 0 + 0 + 0 + 2 + 9 + 0 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297439 + ... + 2787198.

It is an arithmetic number, because the mean of its divisors is an integer number (34807055192).

Almost surely, 2^{3840002908560} is an apocalyptic number.

3840002908560 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 3840002908560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353693246080).

3840002908560 is an abundant number, since it is smaller than the sum of its proper divisors (12867383583600).

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

3840002908560 is a wasteful number, since it uses less digits than its factorization.

3840002908560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084695 (or 3084686 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3840002908560 in words is "three trillion, eight hundred forty billion, two million, nine hundred eight thousand, five hundred sixty".