386880000 has 400 divisors, whose sum is σ = 1431741696. Its totient is φ = 92160000.

The previous prime is 386879989. The next prime is 386880001. The reversal of 386880000 is 88683.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×386880000² = 299352268800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386880001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 12479985 + ... + 12480015.

Almost surely, 2^386880000 is an apocalyptic number.

386880000 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 386880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715870848).

386880000 is an abundant number, since it is smaller than the sum of its proper divisors (1044861696).

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

386880000 is an equidigital number, since it uses as much as digits as its factorization.

386880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 386880000 is about 19669.2653650308. The cubic root of 386880000 is about 728.6608337584.

The spelling of 386880000 in words is "three hundred eighty-six million, eight hundred eighty thousand".