386517152 has 96 divisors (see below), whose sum is σ = 922078080. Its totient is φ = 155796480.

The previous prime is 386517137. The next prime is 386517163. The reversal of 386517152 is 251715683.

It is a super-2 number, since 2×386517152² = 298791017580382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 838202 + ... + 838662.

It is an arithmetic number, because the mean of its divisors is an integer number (9604980).

Almost surely, 2^386517152 is an apocalyptic number.

386517152 is a gapful number since it is divisible by the number (32) 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 386517152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040).

386517152 is an abundant number, since it is smaller than the sum of its proper divisors (535560928).

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

386517152 is a wasteful number, since it uses less digits than its factorization.

386517152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its digits is 50400, while the sum is 38.

The square root of 386517152 is about 19660.0394709675. The cubic root of 386517152 is about 728.4329630786.

The spelling of 386517152 in words is "three hundred eighty-six million, five hundred seventeen thousand, one hundred fifty-two".