385096389120 has 240 divisors, whose sum is σ = 1334362186872. Its totient is φ = 102641172480.

The previous prime is 385096389091. The next prime is 385096389121. The reversal of 385096389120 is 21983690583.

385096389120 is a `hidden beast` number, since 3 + 8 + 50 + 96 + 389 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 360172820736 + 24923568384 = 600144^2 + 157872^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×385096389120³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (385096389121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77434954 + ... + 77439926.

Almost surely, 2^385096389120 is an apocalyptic number.

385096389120 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 385096389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667181093436).

385096389120 is an abundant number, since it is smaller than the sum of its proper divisors (949265797752).

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

385096389120 is a wasteful number, since it uses less digits than its factorization.

385096389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 385096389120 in words is "three hundred eighty-five billion, ninety-six million, three hundred eighty-nine thousand, one hundred twenty".