368095840 has 144 divisors (see below), whose sum is σ = 1047135600. Its totient is φ = 121777152.

The previous prime is 368095837. The next prime is 368095843. The reversal of 368095840 is 48590863.

It is an interprime number because it is at equal distance from previous prime (368095837) and next prime (368095843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368095843) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 226551 + ... + 228169.

It is an arithmetic number, because the mean of its divisors is an integer number (7271775).

Almost surely, 2^368095840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523567800).

368095840 is an abundant number, since it is smaller than the sum of its proper divisors (679039760).

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

368095840 is a wasteful number, since it uses less digits than its factorization.

368095840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 368095840 is about 19185.8239333108. The cubic root of 368095840 is about 716.6717788230.

The spelling of 368095840 in words is "three hundred sixty-eight million, ninety-five thousand, eight hundred forty".