387384312 has 128 divisors (see below), whose sum is σ = 1174003200. Its totient is φ = 104053248.

The previous prime is 387384311. The next prime is 387384313. The reversal of 387384312 is 213483783.

It is an interprime number because it is at equal distance from previous prime (387384311) and next prime (387384313).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387384311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500758 + ... + 501530.

It is an arithmetic number, because the mean of its divisors is an integer number (9171900).

Almost surely, 2^387384312 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 387384312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587001600).

387384312 is an abundant number, since it is smaller than the sum of its proper divisors (786618888).

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

387384312 is a wasteful number, since it uses less digits than its factorization.

387384312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 387384312 is about 19682.0809875379. The cubic root of 387384312 is about 728.9773081577.

The spelling of 387384312 in words is "three hundred eighty-seven million, three hundred eighty-four thousand, three hundred twelve".