387868320 has 432 divisors, whose sum is σ = 1613364480. Its totient is φ = 84446208.

The previous prime is 387868253. The next prime is 387868321. The reversal of 387868320 is 23868783.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (387868321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1622761 + ... + 1622999.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^387868320 is an apocalyptic number.

387868320 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 387868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

387868320 is an abundant number, since it is smaller than the sum of its proper divisors (1225496160).

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

387868320 is a wasteful number, since it uses less digits than its factorization.

387868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 387868320 is about 19694.3728003712. The cubic root of 387868320 is about 729.2807828507.

The spelling of 387868320 in words is "three hundred eighty-seven million, eight hundred sixty-eight thousand, three hundred twenty".