386691840 has 288 divisors, whose sum is σ = 1401039360. Its totient is φ = 100970496.

The previous prime is 386691827. The next prime is 386691853. The reversal of 386691840 is 48196683.

It is an interprime number because it is at equal distance from previous prime (386691827) and next prime (386691853).

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 (45).

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 31 ways as a sum of consecutive naturals, for example, 2315437 + ... + 2315603.

It is an arithmetic number, because the mean of its divisors is an integer number (4864720).

Almost surely, 2^386691840 is an apocalyptic number.

386691840 is a gapful number since it is divisible by the number (30) 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 386691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700519680).

386691840 is an abundant number, since it is smaller than the sum of its proper divisors (1014347520).

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

386691840 is a wasteful number, since it uses less digits than its factorization.

386691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 386691840 is about 19664.4816865332. The cubic root of 386691840 is about 728.5426859645.

The spelling of 386691840 in words is "three hundred eighty-six million, six hundred ninety-one thousand, eight hundred forty".