387964320 has 192 divisors, whose sum is σ = 1293304320. Its totient is φ = 97599488.

The previous prime is 387964319. The next prime is 387964321. The reversal of 387964320 is 23469783.

It is an interprime number because it is at equal distance from previous prime (387964319) and next prime (387964321).

It is not an unprimeable number, because it can be changed into a prime (387964321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653944 + ... + 654536.

It is an arithmetic number, because the mean of its divisors is an integer number (6735960).

Almost surely, 2^387964320 is an apocalyptic number.

387964320 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 387964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646652160).

387964320 is an abundant number, since it is smaller than the sum of its proper divisors (905340000).

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

387964320 is a wasteful number, since it uses less digits than its factorization.

387964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 387964320 is about 19696.8098939904. The cubic root of 387964320 is about 729.3409451758.

The spelling of 387964320 in words is "three hundred eighty-seven million, nine hundred sixty-four thousand, three hundred twenty".