385004119680 has 320 divisors, whose sum is σ = 1447287098400. Its totient is φ = 97263949824.

The previous prime is 385004119667. The next prime is 385004119681. The reversal of 385004119680 is 86911400583.

385004119680 is a `hidden beast` number, since 38 + 500 + 41 + 19 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (385004119681) 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 39 ways as a sum of consecutive naturals, for example, 789519 + ... + 1180401.

Almost surely, 2^385004119680 is an apocalyptic number.

385004119680 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 385004119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723643549200).

385004119680 is an abundant number, since it is smaller than the sum of its proper divisors (1062282978720).

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

385004119680 is a wasteful number, since it uses less digits than its factorization.

385004119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390933 (or 390912 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 385004119680 in words is "three hundred eighty-five billion, four million, one hundred nineteen thousand, six hundred eighty".