368442240 has 128 divisors (see below), whose sum is σ = 1184440320. Its totient is φ = 97413120.

The previous prime is 368442233. The next prime is 368442251. The reversal of 368442240 is 42244863.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 243085 + ... + 244595.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^368442240 is an apocalyptic number.

368442240 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 368442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

368442240 is an abundant number, since it is smaller than the sum of its proper divisors (815998080).

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

368442240 is a wasteful number, since it uses less digits than its factorization.

368442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 368442240 is about 19194.8493091246. The cubic root of 368442240 is about 716.8965185453.

The spelling of 368442240 in words is "three hundred sixty-eight million, four hundred forty-two thousand, two hundred forty".