385742016 has 168 divisors, whose sum is σ = 1259092224. Its totient is φ = 111767040.

The previous prime is 385742011. The next prime is 385742023. The reversal of 385742016 is 610247583.

385742016 is a `hidden beast` number, since 385 + 74 + 201 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (385742011) 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 23 ways as a sum of consecutive naturals, for example, 144405 + ... + 147051.

Almost surely, 2^385742016 is an apocalyptic number.

385742016 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 385742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629546112).

385742016 is an abundant number, since it is smaller than the sum of its proper divisors (873350208).

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

385742016 is a wasteful number, since it uses less digits than its factorization.

385742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 385742016 is about 19640.3160870695. The cubic root of 385742016 is about 727.9456949389.

Adding to 385742016 its reverse (610247583), we get a palindrome (995989599).

The spelling of 385742016 in words is "three hundred eighty-five million, seven hundred forty-two thousand, sixteen".