368953344 has 144 divisors (see below), whose sum is σ = 1096428060. Its totient is φ = 119439360.

The previous prime is 368953339. The next prime is 368953393. The reversal of 368953344 is 443359863.

368953344 is a `hidden beast` number, since 36 + 89 + 533 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 357663744 + 11289600 = 18912^2 + 3360^2 .

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

It is a super-2 number, since 2×368953344² = 272253140097564672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 368953344.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 681714 + ... + 682254.

Almost surely, 2^368953344 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 368953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548214030).

368953344 is an abundant number, since it is smaller than the sum of its proper divisors (727474716).

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

368953344 is a wasteful number, since it uses less digits than its factorization.

368953344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 583 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 368953344 is about 19208.1582667366. The cubic root of 368953344 is about 717.2278589303.

The spelling of 368953344 in words is "three hundred sixty-eight million, nine hundred fifty-three thousand, three hundred forty-four".