385107840 has 384 divisors, whose sum is σ = 1481407200. Its totient is φ = 91570176.

The previous prime is 385107781. The next prime is 385107847. The reversal of 385107840 is 48701583.

385107840 is a `hidden beast` number, since 38 + 510 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 385107795 and 385107804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385107847) 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 47 ways as a sum of consecutive naturals, for example, 2770491 + ... + 2770629.

Almost surely, 2^385107840 is an apocalyptic number.

385107840 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 385107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740703600).

385107840 is an abundant number, since it is smaller than the sum of its proper divisors (1096299360).

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

385107840 is a wasteful number, since it uses less digits than its factorization.

385107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 385107840 is about 19624.1646955991. The cubic root of 385107840 is about 727.5465517383.

The spelling of 385107840 in words is "three hundred eighty-five million, one hundred seven thousand, eight hundred forty".