366819840 has 400 divisors, whose sum is σ = 1381418280. Its totient is φ = 92897280.

The previous prime is 366819793. The next prime is 366819857. The reversal of 366819840 is 48918663.

It can be written as a sum of positive squares in 4 ways, for example, as 195105024 + 171714816 = 13968^2 + 13104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 6013410 + ... + 6013470.

Almost surely, 2^366819840 is an apocalyptic number.

366819840 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 366819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690709140).

366819840 is an abundant number, since it is smaller than the sum of its proper divisors (1014598440).

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

366819840 is an equidigital number, since it uses as much as digits as its factorization.

366819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 366819840 is about 19152.5413457327. The cubic root of 366819840 is about 715.8427086006.

The spelling of 366819840 in words is "three hundred sixty-six million, eight hundred nineteen thousand, eight hundred forty".