384961610880 has 3072 divisors, whose sum is σ = 1909317795840. Its totient is φ = 71663616000.

The previous prime is 384961610767. The next prime is 384961610909. The reversal of 384961610880 is 88016169483.

384961610880 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 616 + 10 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6310846050 + ... + 6310846110.

It is an arithmetic number, because the mean of its divisors is an integer number (621522720).

Almost surely, 2^384961610880 is an apocalyptic number.

384961610880 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 384961610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954658897920).

384961610880 is an abundant number, since it is smaller than the sum of its proper divisors (1524356184960).

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

384961610880 is a wasteful number, since it uses less digits than its factorization.

384961610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 384961610880 in words is "three hundred eighty-four billion, nine hundred sixty-one million, six hundred ten thousand, eight hundred eighty".