3840348072960 has 264 divisors, whose sum is σ = 15207665350176. Its totient is φ = 877793771520.

The previous prime is 3840348072919. The next prime is 3840348072971. The reversal of 3840348072960 is 692708430483.

3840348072960 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 3 + 480 + 72 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3840348072897 and 3840348072906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5630361 + ... + 6275480.

Almost surely, 2^{3840348072960} is an apocalyptic number.

3840348072960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3840348072960 is an abundant number, since it is smaller than the sum of its proper divisors (11367317277216).

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

3840348072960 is a wasteful number, since it uses less digits than its factorization.

3840348072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11905879 (or 11905858 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3840348072960 in words is "three trillion, eight hundred forty billion, three hundred forty-eight million, seventy-two thousand, nine hundred sixty".