386211840 has 224 divisors, whose sum is σ = 1415491200. Its totient is φ = 88080384.

The previous prime is 386211823. The next prime is 386211863. The reversal of 386211840 is 48112683.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859936 + ... + 860384.

Almost surely, 2^386211840 is an apocalyptic number.

386211840 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 386211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707745600).

386211840 is an abundant number, since it is smaller than the sum of its proper divisors (1029279360).

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

386211840 is an equidigital number, since it uses as much as digits as its factorization.

386211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

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

The square root of 386211840 is about 19652.2731509614. The cubic root of 386211840 is about 728.2411148363.

It can be divided in two parts, 386 and 211840, that added together give a triangular number (212226 = T₆₅₁).

The spelling of 386211840 in words is "three hundred eighty-six million, two hundred eleven thousand, eight hundred forty".