386131200 has 648 divisors, whose sum is σ = 1669768128. Its totient is φ = 76677120.

The previous prime is 386131177. The next prime is 386131219. The reversal of 386131200 is 2131683.

It is a super-2 number, since 2×386131200² = 298194607226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 22713592 + ... + 22713608.

Almost surely, 2^386131200 is an apocalyptic number.

386131200 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 386131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834884064).

386131200 is an abundant number, since it is smaller than the sum of its proper divisors (1283636928).

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

386131200 is a wasteful number, since it uses less digits than its factorization.

386131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 386131200 is about 19650.2213727988. The cubic root of 386131200 is about 728.1904263754.

Adding to 386131200 its reverse (2131683), we get a palindrome (388262883).

The spelling of 386131200 in words is "three hundred eighty-six million, one hundred thirty-one thousand, two hundred".