385322544 has 180 divisors, whose sum is σ = 1175844384. Its totient is φ = 117712896.

The previous prime is 385322537. The next prime is 385322549. The reversal of 385322544 is 445223583.

385322544 is a `hidden beast` number, since 3 + 85 + 32 + 2 + 544 = 666.

385322544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 385322499 and 385322508.

It is not an unprimeable number, because it can be changed into a prime (385322549) 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, 1955854 + ... + 1956050.

Almost surely, 2^385322544 is an apocalyptic number.

385322544 is a gapful number since it is divisible by the number (34) 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 385322544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587922192).

385322544 is an abundant number, since it is smaller than the sum of its proper divisors (790521840).

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

385322544 is a wasteful number, since it uses less digits than its factorization.

385322544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 385322544 is about 19629.6343317954. The cubic root of 385322544 is about 727.6817330375.

The spelling of 385322544 in words is "three hundred eighty-five million, three hundred twenty-two thousand, five hundred forty-four".