386668890 has 224 divisors, whose sum is σ = 1133222400. Its totient is φ = 94711680.

The previous prime is 386668879. The next prime is 386668903. The reversal of 386668890 is 98866683.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon 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 111 ways as a sum of consecutive naturals, for example, 6553681 + ... + 6553739.

Almost surely, 2^386668890 is an apocalyptic number.

386668890 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 386668890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566611200).

386668890 is an abundant number, since it is smaller than the sum of its proper divisors (746553510).

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

386668890 is a wasteful number, since it uses less digits than its factorization.

386668890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 386668890 is about 19663.8981384668. The cubic root of 386668890 is about 728.5282727774.

The spelling of 386668890 in words is "three hundred eighty-six million, six hundred sixty-eight thousand, eight hundred ninety".