385834176 has 336 divisors, whose sum is σ = 1444532544. Its totient is φ = 95551488.

The previous prime is 385834171. The next prime is 385834201. The reversal of 385834176 is 671438583.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×385834176² = 297736022739197952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (385834171) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 890856 + ... + 891288.

It is an arithmetic number, because the mean of its divisors is an integer number (4299204).

Almost surely, 2^385834176 is an apocalyptic number.

385834176 is a gapful number since it is divisible by the number (36) 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 385834176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722266272).

385834176 is an abundant number, since it is smaller than the sum of its proper divisors (1058698368).

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

385834176 is a wasteful number, since it uses less digits than its factorization.

385834176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 385834176 is about 19642.6621413697. The cubic root of 385834176 is about 728.0036629852.

The spelling of 385834176 in words is "three hundred eighty-five million, eight hundred thirty-four thousand, one hundred seventy-six".