386590340 has 48 divisors (see below), whose sum is σ = 856732800. Its totient is φ = 146126592.

The previous prime is 386590333. The next prime is 386590403. The reversal of 386590340 is 43095683.

It is a super-3 number, since 3×386590340³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 386590294 and 386590303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184016 + ... + 186104.

It is an arithmetic number, because the mean of its divisors is an integer number (17848600).

Almost surely, 2^386590340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386590340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428366400).

386590340 is an abundant number, since it is smaller than the sum of its proper divisors (470142460).

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

386590340 is a wasteful number, since it uses less digits than its factorization.

386590340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 386590340 is about 19661.9007219546. The cubic root of 386590340 is about 728.4789370514.

The spelling of 386590340 in words is "three hundred eighty-six million, five hundred ninety thousand, three hundred forty".