386952768 has 112 divisors (see below), whose sum is σ = 1156533120. Its totient is φ = 126835200.

The previous prime is 386952737. The next prime is 386952773. The reversal of 386952768 is 867259683.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 103573 + ... + 107243.

Almost surely, 2^386952768 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 386952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578266560).

386952768 is an abundant number, since it is smaller than the sum of its proper divisors (769580352).

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

386952768 is a wasteful number, since it uses less digits than its factorization.

386952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3737 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 386952768 is about 19671.1150675299. The cubic root of 386952768 is about 728.7065153371.

The spelling of 386952768 in words is "three hundred eighty-six million, nine hundred fifty-two thousand, seven hundred sixty-eight".