385161216 has 192 divisors, whose sum is σ = 1155772800. Its totient is φ = 113049600.

The previous prime is 385161181. The next prime is 385161223. The reversal of 385161216 is 612161583.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (8640) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2770875 + ... + 2771013.

It is an arithmetic number, because the mean of its divisors is an integer number (6019650).

Almost surely, 2^385161216 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 385161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

385161216 is an abundant number, since it is smaller than the sum of its proper divisors (770611584).

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

385161216 is a wasteful number, since it uses less digits than its factorization.

385161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 385161216 is about 19625.5246044533. The cubic root of 385161216 is about 727.5801628698.

The spelling of 385161216 in words is "three hundred eighty-five million, one hundred sixty-one thousand, two hundred sixteen".