386952336 has 160 divisors (see below), whose sum is σ = 1168675200. Its totient is φ = 122411520.

The previous prime is 386952329. The next prime is 386952337. The reversal of 386952336 is 633259683.

386952336 is a `hidden beast` number, since 38 + 69 + 523 + 36 = 666.

It is a super-2 number, since 2×386952336² = 299464220671713792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 386952291 and 386952300.

It is not an unprimeable number, because it can be changed into a prime (386952337) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 839146 + ... + 839606.

It is an arithmetic number, because the mean of its divisors is an integer number (7304220).

Almost surely, 2^386952336 is an apocalyptic number.

386952336 is a gapful number since it is divisible by the number (36) 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 386952336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584337600).

386952336 is an abundant number, since it is smaller than the sum of its proper divisors (781722864).

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

386952336 is a wasteful number, since it uses less digits than its factorization.

386952336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 386952336 is about 19671.1040869596. The cubic root of 386952336 is about 728.7062441573.

The spelling of 386952336 in words is "three hundred eighty-six million, nine hundred fifty-two thousand, three hundred thirty-six".