386205696 has 144 divisors (see below), whose sum is σ = 1165207680. Its totient is φ = 123002880.

The previous prime is 386205683. The next prime is 386205737. The reversal of 386205696 is 696502683.

It is a happy number.

386205696 is a `hidden beast` number, since 3 + 86 + 2 + 0 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423481 + ... + 424391.

It is an arithmetic number, because the mean of its divisors is an integer number (8091720).

Almost surely, 2^386205696 is an apocalyptic number.

386205696 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 386205696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582603840).

386205696 is an abundant number, since it is smaller than the sum of its proper divisors (779001984).

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

386205696 is a wasteful number, since it uses less digits than its factorization.

386205696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 386205696 is about 19652.1168325450. The cubic root of 386205696 is about 728.2372531066.

The spelling of 386205696 in words is "three hundred eighty-six million, two hundred five thousand, six hundred ninety-six".