385687296 has 216 divisors, whose sum is σ = 1210088880. Its totient is φ = 117669888.

The previous prime is 385687271. The next prime is 385687303. The reversal of 385687296 is 692786583.

It is a happy number.

385687296 is a `hidden beast` number, since 3 + 8 + 568 + 72 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1684110 + ... + 1684338.

Almost surely, 2^385687296 is an apocalyptic number.

385687296 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 385687296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605044440).

385687296 is an abundant number, since it is smaller than the sum of its proper divisors (824401584).

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

385687296 is a wasteful number, since it uses less digits than its factorization.

385687296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 385687296 is about 19638.9229847260. The cubic root of 385687296 is about 727.9112720427.

The spelling of 385687296 in words is "three hundred eighty-five million, six hundred eighty-seven thousand, two hundred ninety-six".