385365746880 has 224 divisors, whose sum is σ = 1361104516800. Its totient is φ = 102641762304.

The previous prime is 385365746873. The next prime is 385365746893. The reversal of 385365746880 is 88647563583.

It is a happy number.

385365746880 is a `hidden beast` number, since 3 + 8 + 53 + 6 + 574 + 6 + 8 + 8 + 0 = 666.

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, 7343776 + ... + 7396064.

It is an arithmetic number, because the mean of its divisors is an integer number (6076359450).

Almost surely, 2^385365746880 is an apocalyptic number.

385365746880 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 385365746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680552258400).

385365746880 is an abundant number, since it is smaller than the sum of its proper divisors (975738769920).

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

385365746880 is a wasteful number, since it uses less digits than its factorization.

385365746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53168 (or 53152 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 385365746880 in words is "three hundred eighty-five billion, three hundred sixty-five million, seven hundred forty-six thousand, eight hundred eighty".