385195104 has 144 divisors (see below), whose sum is σ = 1260893088. Its totient is φ = 109264896.

The previous prime is 385195103. The next prime is 385195117. The reversal of 385195104 is 401591583.

385195104 is a `hidden beast` number, since 38 + 519 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385195103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315904 + ... + 317120.

It is an arithmetic number, because the mean of its divisors is an integer number (8756202).

Almost surely, 2^385195104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385195104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630446544).

385195104 is an abundant number, since it is smaller than the sum of its proper divisors (875697984).

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

385195104 is a wasteful number, since it uses less digits than its factorization.

385195104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 385195104 is about 19626.3879509195. The cubic root of 385195104 is about 727.6015006996.

The spelling of 385195104 in words is "three hundred eighty-five million, one hundred ninety-five thousand, one hundred four".