368976384 has 400 divisors, whose sum is σ = 1330914816. Its totient is φ = 99532800.

The previous prime is 368976379. The next prime is 368976401. The reversal of 368976384 is 483679863.

368976384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×368976384² = 272287143899430912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (5225472) is a multiple of the sum of its prime divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 368976384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8999404 + ... + 8999444.

Almost surely, 2^368976384 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 368976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665457408).

368976384 is an abundant number, since it is smaller than the sum of its proper divisors (961938432).

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

368976384 is an equidigital number, since it uses as much as digits as its factorization.

368976384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 368976384 is about 19208.7580025362. The cubic root of 368976384 is about 717.2427881765.

The spelling of 368976384 in words is "three hundred sixty-eight million, nine hundred seventy-six thousand, three hundred eighty-four".