387676960 has 192 divisors, whose sum is σ = 1066431744. Its totient is φ = 131788800.

The previous prime is 387676957. The next prime is 387676967. The reversal of 387676960 is 69676783.

It is a junction number, because it is equal to n+sod(n) for n = 387676898 and 387676907.

It is not an unprimeable number, because it can be changed into a prime (387676967) 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, 2469202 + ... + 2469358.

It is an arithmetic number, because the mean of its divisors is an integer number (5554332).

Almost surely, 2^387676960 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 387676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533215872).

387676960 is an abundant number, since it is smaller than the sum of its proper divisors (678754784).

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

387676960 is a wasteful number, since it uses less digits than its factorization.

387676960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The square root of 387676960 is about 19689.5139604816. The cubic root of 387676960 is about 729.1608296603.

The spelling of 387676960 in words is "three hundred eighty-seven million, six hundred seventy-six thousand, nine hundred sixty".