386631000 has 576 divisors, whose sum is σ = 1668962880. Its totient is φ = 78796800.

The previous prime is 386630971. The next prime is 386631013. The reversal of 386631000 is 136683.

It is a super-2 number, since 2×386631000² = 298967060322000000, which contains 22 as substring.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 20348991 + ... + 20349009.

It is an arithmetic number, because the mean of its divisors is an integer number (2897505).

Almost surely, 2^386631000 is an apocalyptic number.

386631000 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 386631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834481440).

386631000 is an abundant number, since it is smaller than the sum of its proper divisors (1282331880).

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

386631000 is a wasteful number, since it uses less digits than its factorization.

386631000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 386631000 is about 19662.9346741528. The cubic root of 386631000 is about 728.5044756402.

Adding to 386631000 its reverse (136683), we get a palindrome (386767683).

The spelling of 386631000 in words is "three hundred eighty-six million, six hundred thirty-one thousand".