368099424 has 288 divisors, whose sum is σ = 1351365120. Its totient is φ = 95420160.

The previous prime is 368099423. The next prime is 368099471. The reversal of 368099424 is 424990863.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 368099424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368099423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731557 + ... + 732059.

It is an arithmetic number, because the mean of its divisors is an integer number (4692240).

Almost surely, 2^368099424 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 368099424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675682560).

368099424 is an abundant number, since it is smaller than the sum of its proper divisors (983265696).

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

368099424 is a wasteful number, since it uses less digits than its factorization.

368099424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 368099424 is about 19185.9173353791. The cubic root of 368099424 is about 716.6741047963.

The spelling of 368099424 in words is "three hundred sixty-eight million, ninety-nine thousand, four hundred twenty-four".