368559840 has 288 divisors, whose sum is σ = 1327487616. Its totient is φ = 85227520.

The previous prime is 368559817. The next prime is 368559883. The reversal of 368559840 is 48955863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 368559840.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4440439 + ... + 4440521.

It is an arithmetic number, because the mean of its divisors is an integer number (4609332).

Almost surely, 2^368559840 is an apocalyptic number.

368559840 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 368559840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663743808).

368559840 is an abundant number, since it is smaller than the sum of its proper divisors (958927776).

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

368559840 is a wasteful number, since it uses less digits than its factorization.

368559840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 368559840 is about 19197.9123865070. The cubic root of 368559840 is about 716.9727838349.

The spelling of 368559840 in words is "three hundred sixty-eight million, five hundred fifty-nine thousand, eight hundred forty".