386106336 has 288 divisors, whose sum is σ = 1430327808. Its totient is φ = 95800320.

The previous prime is 386106323. The next prime is 386106337. The reversal of 386106336 is 633601683.

386106336 is a `hidden beast` number, since 3 + 8 + 6 + 10 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 386106336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386106337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509670 + ... + 510426.

It is an arithmetic number, because the mean of its divisors is an integer number (4966416).

Almost surely, 2^386106336 is an apocalyptic number.

386106336 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 386106336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715163904).

386106336 is an abundant number, since it is smaller than the sum of its proper divisors (1044221472).

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

386106336 is a wasteful number, since it uses less digits than its factorization.

386106336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 386106336 is about 19649.5886979855. The cubic root of 386106336 is about 728.1747960099.

The spelling of 386106336 in words is "three hundred eighty-six million, one hundred six thousand, three hundred thirty-six".