385748380080 has 1200 divisors, whose sum is σ = 1679804628480. Its totient is φ = 81533039616.

The previous prime is 385748380051. The next prime is 385748380093. The reversal of 385748380080 is 80083847583.

385748380080 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 483 + 80 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 385748379999 and 385748380026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 259413097 + ... + 259414583.

Almost surely, 2^385748380080 is an apocalyptic number.

385748380080 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 385748380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839902314240).

385748380080 is an abundant number, since it is smaller than the sum of its proper divisors (1294056248400).

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

385748380080 is a wasteful number, since it uses less digits than its factorization.

385748380080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 385748380080 in words is "three hundred eighty-five billion, seven hundred forty-eight million, three hundred eighty thousand, eighty".