387379968 has 144 divisors (see below), whose sum is σ = 1087865856. Its totient is φ = 122204160.

The previous prime is 387379957. The next prime is 387379981. The reversal of 387379968 is 869973783.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261671 + ... + 1261977.

It is an arithmetic number, because the mean of its divisors is an integer number (7554624).

Almost surely, 2^387379968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543932928).

387379968 is an abundant number, since it is smaller than the sum of its proper divisors (700485888).

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

387379968 is a wasteful number, since it uses less digits than its factorization.

387379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 60.

The square root of 387379968 is about 19681.9706330438. The cubic root of 387379968 is about 728.9745833104.

The spelling of 387379968 in words is "three hundred eighty-seven million, three hundred seventy-nine thousand, nine hundred sixty-eight".