385890336 has 72 divisors (see below), whose sum is σ = 1181800620. Its totient is φ = 118734336.

The previous prime is 385890317. The next prime is 385890341. The reversal of 385890336 is 633098583.

385890336 is a `hidden beast` number, since 38 + 589 + 0 + 3 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 385886736 + 3600 = 19644^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×385890336² = 297822702836385792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385890291 and 385890300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47791 + ... + 55278.

Almost surely, 2^385890336 is an apocalyptic number.

385890336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385890336 is an abundant number, since it is smaller than the sum of its proper divisors (795910284).

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

385890336 is a wasteful number, since it uses less digits than its factorization.

385890336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103098 (or 103087 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 385890336 is about 19644.0916308187. The cubic root of 385890336 is about 728.0389827372.

The spelling of 385890336 in words is "three hundred eighty-five million, eight hundred ninety thousand, three hundred thirty-six".