385323642 has 48 divisors (see below), whose sum is σ = 944510112. Its totient is φ = 116763120.

The previous prime is 385323637. The next prime is 385323643. The reversal of 385323642 is 246323583.

It is a happy number.

385323642 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 2 + 3 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 385323597 and 385323606.

It is not an unprimeable number, because it can be changed into a prime (385323643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30693 + ... + 41384.

It is an arithmetic number, because the mean of its divisors is an integer number (19677294).

Almost surely, 2^385323642 is an apocalyptic number.

385323642 is an abundant number, since it is smaller than the sum of its proper divisors (559186470).

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

385323642 is a wasteful number, since it uses less digits than its factorization.

385323642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72105 (or 72093 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 385323642 is about 19629.6622996933. The cubic root of 385323642 is about 727.6824242280.

It can be divided in two parts, 3853 and 23642, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 385323642 in words is "three hundred eighty-five million, three hundred twenty-three thousand, six hundred forty-two".