368582130 has 256 divisors, whose sum is σ = 1199923200. Its totient is φ = 78693120.

The previous prime is 368582077. The next prime is 368582143. The reversal of 368582130 is 31285863.

368582130 is a `hidden beast` number, since 3 + 68 + 582 + 13 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2651601 + ... + 2651739.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^368582130 is an apocalyptic number.

368582130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 368582130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

368582130 is an abundant number, since it is smaller than the sum of its proper divisors (831341070).

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

368582130 is a wasteful number, since it uses less digits than its factorization.

368582130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 368582130 is about 19198.4929096010. The cubic root of 368582130 is about 716.9872373912.

The spelling of 368582130 in words is "three hundred sixty-eight million, five hundred eighty-two thousand, one hundred thirty".