386976304 has 80 divisors (see below), whose sum is σ = 932752800. Its totient is φ = 152801280.

The previous prime is 386976301. The next prime is 386976313. The reversal of 386976304 is 403679683.

It is not an unprimeable number, because it can be changed into a prime (386976301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33922 + ... + 43870.

It is an arithmetic number, because the mean of its divisors is an integer number (11659410).

Almost surely, 2^386976304 is an apocalyptic number.

386976304 is a gapful number since it is divisible by the number (34) 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 386976304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466376400).

386976304 is an abundant number, since it is smaller than the sum of its proper divisors (545776496).

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

386976304 is a wasteful number, since it uses less digits than its factorization.

386976304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The square root of 386976304 is about 19671.7132959994. The cubic root of 386976304 is about 728.7212893098.

The spelling of 386976304 in words is "three hundred eighty-six million, nine hundred seventy-six thousand, three hundred four".