387840768 has 144 divisors (see below), whose sum is σ = 1242097920. Its totient is φ = 104951808.

The previous prime is 387840763. The next prime is 387840769. The reversal of 387840768 is 867048783.

It is a super-2 number, since 2×387840768² = 300840922645659648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 387840768.

It is not an unprimeable number, because it can be changed into a prime (387840763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100246 + ... + 104042.

It is an arithmetic number, because the mean of its divisors is an integer number (8625680).

Almost surely, 2^387840768 is an apocalyptic number.

387840768 is a gapful number since it is divisible by the number (38) 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 387840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621048960).

387840768 is an abundant number, since it is smaller than the sum of its proper divisors (854257152).

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

387840768 is a wasteful number, since it uses less digits than its factorization.

387840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 387840768 is about 19693.6732988033. The cubic root of 387840768 is about 729.2635144301.

The spelling of 387840768 in words is "three hundred eighty-seven million, eight hundred forty thousand, seven hundred sixty-eight".