385312576 has 56 divisors (see below), whose sum is σ = 842528160. Its totient is φ = 173376000.

The previous prime is 385312573. The next prime is 385312579. The reversal of 385312576 is 675213583.

It is an interprime number because it is at equal distance from previous prime (385312573) and next prime (385312579).

It is a super-3 number, since 3×385312576³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385312573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68395 + ... + 73813.

Almost surely, 2^385312576 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 385312576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421264080).

385312576 is an abundant number, since it is smaller than the sum of its proper divisors (457215584).

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

385312576 is a wasteful number, since it uses less digits than its factorization.

385312576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5533 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 385312576 is about 19629.3804283273. The cubic root of 385312576 is about 727.6754581265.

The spelling of 385312576 in words is "three hundred eighty-five million, three hundred twelve thousand, five hundred seventy-six".