368952768 has 168 divisors, whose sum is σ = 1148303520. Its totient is φ = 112803840.

The previous prime is 368952763. The next prime is 368952817. The reversal of 368952768 is 867259863.

It is a happy number.

368952768 is a `hidden beast` number, since 36 + 89 + 527 + 6 + 8 = 666.

It is a super-2 number, since 2×368952768² = 272252290029723648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368952763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401013 + ... + 401931.

It is an arithmetic number, because the mean of its divisors is an integer number (6835140).

Almost surely, 2^368952768 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 368952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574151760).

368952768 is an abundant number, since it is smaller than the sum of its proper divisors (779350752).

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

368952768 is a wasteful number, since it uses less digits than its factorization.

368952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 982 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 368952768 is about 19208.1432731016. The cubic root of 368952768 is about 717.2274856912.

The spelling of 368952768 in words is "three hundred sixty-eight million, nine hundred fifty-two thousand, seven hundred sixty-eight".