367789968 has 360 divisors, whose sum is σ = 1359341568. Its totient is φ = 90574848.

The previous prime is 367789963. The next prime is 367789979. The reversal of 367789968 is 869987763.

It is a happy number.

It is a super-2 number, since 2×367789968² = 270538921122882048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (367789963) 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 71 ways as a sum of consecutive naturals, for example, 2895921 + ... + 2896047.

Almost surely, 2^367789968 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 367789968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679670784).

367789968 is an abundant number, since it is smaller than the sum of its proper divisors (991551600).

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

367789968 is a wasteful number, since it uses less digits than its factorization.

367789968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 367789968 is about 19177.8509744966. The cubic root of 367789968 is about 716.4732158831.

The spelling of 367789968 in words is "three hundred sixty-seven million, seven hundred eighty-nine thousand, nine hundred sixty-eight".