385582176 has 216 divisors, whose sum is σ = 1294052760. Its totient is φ = 108573696.

The previous prime is 385582157. The next prime is 385582177. The reversal of 385582176 is 671285583.

385582176 is a `hidden beast` number, since 3 + 8 + 558 + 21 + 76 = 666.

It is a super-2 number, since 2×385582176² = 297347228897789952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385582177) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1255815 + ... + 1256121.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

Almost surely, 2^385582176 is an apocalyptic number.

385582176 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 385582176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647026380).

385582176 is an abundant number, since it is smaller than the sum of its proper divisors (908470584).

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

385582176 is a wasteful number, since it uses less digits than its factorization.

385582176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 385582176 is about 19636.2464844990. The cubic root of 385582176 is about 727.8451347112.

The spelling of 385582176 in words is "three hundred eighty-five million, five hundred eighty-two thousand, one hundred seventy-six".