368967312 has 140 divisors (see below), whose sum is σ = 1225209280. Its totient is φ = 105395904.

The previous prime is 368967283. The next prime is 368967329. The reversal of 368967312 is 213769863.

It is a super-2 number, since 2×368967312² = 272273754649010688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 79389 + ... + 83907.

Almost surely, 2^368967312 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 368967312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612604640).

368967312 is an abundant number, since it is smaller than the sum of its proper divisors (856241968).

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

368967312 is an equidigital number, since it uses as much as digits as its factorization.

368967312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4531 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 368967312 is about 19208.5218588001. The cubic root of 368967312 is about 717.2369098600.

The spelling of 368967312 in words is "three hundred sixty-eight million, nine hundred sixty-seven thousand, three hundred twelve".