387309846 has 64 divisors (see below), whose sum is σ = 996950016. Its totient is φ = 97351200.

The previous prime is 387309833. The next prime is 387309859. The reversal of 387309846 is 648903783.

It is an interprime number because it is at equal distance from previous prime (387309833) and next prime (387309859).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 387309795 and 387309804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801 + ... + 27843.

It is an arithmetic number, because the mean of its divisors is an integer number (15577344).

Almost surely, 2^387309846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387309846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498475008).

387309846 is an abundant number, since it is smaller than the sum of its proper divisors (609640170).

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

387309846 is a wasteful number, since it uses less digits than its factorization.

387309846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27097.

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 387309846 is about 19680.1891759200. The cubic root of 387309846 is about 728.9305952843.

The spelling of 387309846 in words is "three hundred eighty-seven million, three hundred nine thousand, eight hundred forty-six".