387063360 has 280 divisors, whose sum is σ = 1399626360. Its totient is φ = 101523456.

The previous prime is 387063359. The next prime is 387063367. The reversal of 387063360 is 63360783.

It can be written as a sum of positive squares in 4 ways, for example, as 78428736 + 308634624 = 8856^2 + 17568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (387063367) 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 39 ways as a sum of consecutive naturals, for example, 2825212 + ... + 2825348.

Almost surely, 2^387063360 is an apocalyptic number.

387063360 is a gapful number since it is divisible by the number (30) 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 387063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699813180).

387063360 is an abundant number, since it is smaller than the sum of its proper divisors (1012563000).

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

387063360 is a wasteful number, since it uses less digits than its factorization.

387063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 387063360 is about 19673.9258919007. The cubic root of 387063360 is about 728.7759307295.

The spelling of 387063360 in words is "three hundred eighty-seven million, sixty-three thousand, three hundred sixty".