368310240 has 144 divisors (see below), whose sum is σ = 1303546608. Its totient is φ = 98205696.

The previous prime is 368310211. The next prime is 368310263. The reversal of 368310240 is 42013863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34144 + ... + 43616.

It is an arithmetic number, because the mean of its divisors is an integer number (9052407).

Almost surely, 2^368310240 is an apocalyptic number.

368310240 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 368310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651773304).

368310240 is an abundant number, since it is smaller than the sum of its proper divisors (935236368).

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

368310240 is an equidigital number, since it uses as much as digits as its factorization.

368310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 368310240 is about 19191.4105786938. The cubic root of 368310240 is about 716.8108953156.

The spelling of 368310240 in words is "three hundred sixty-eight million, three hundred ten thousand, two hundred forty".